List of Stephen Yau's Main Publications on Pure Math
July 10, 2024
1.
On T-maps
and ideals of antiderivatives of hypersurface singularities (with Quan Shi
and Huaiqing Zuo), to
appear, Izvestiya: Mathematics, 2024.
2.
Hodge
moduli algebras and complete invariants of singularities (with Guorui Ma, Yang Wang, and Huaiqing
Zuo), to appear, Asian Journal of Mathematics, 2024.
3.
A
characterization and solvability of quasihomogeneous
singularities (with Guorui Ma, Qiwei Zhu and Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 329, No. 1
(2024), 121-146.
4.
On
variation of complex structures and variation of new Lie algebras arising from
singularities (with Bingyi Chen, Naveed Hussain
and Huaiqing Zuo),
Proceedings of the 8th International Consortium of Chinese Mathematicians,
2019, Beijing, China, Vol. 1 (2024), 731-743.
5.
Bergman
functions and the equivalence problem of singular domains (with Bingyi Chen), Communications in Analysis and Geometry, Vol.
31, No. 2 (2023), 449-483.
6.
Classification
of weighted dual graphs
consisting of -2 curves and exactly one -3-curve (with Qiwei
Zhu and Huaiqing Zuo), Izvestiya: Mathematics, Vol. 87, No. 5 (2023), 1078-1116.
7.
A
criteria for classification of weighted dual graphs of singularities and its
application (with Qiwei Zhu and Huaiqing Zuo), Asian Journal of
Mathematics, Vol. 27, No. 2 (2023), 261-300.
8.
On
derivation Lie algebras of isolated complete intersection singularities
(with Naveed Hussain and Huaiqing Zuo),
Letters in Mathematical Physics, Vol. 113:99 (2023), 1-34.
9.
Nonexistence
of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities
(with Guorui Ma and Huaiqing
Zuo), Pacific Journal of Mathematics, Vol. 323, No. 1
(2023), 129-172.
10.
Derivations
of local k-th
Hessian algebras of singularities (with Naveed Hussain and Huaiqing Zuo), Rocky Mountain
Journal of Mathematics, Vol. 53, No. 1 (2023), 65-87.
11.
k-th Milnor Numbers and k-th Tjurina
Numbers of Weighted Homogeneous Singularities (with Naveed Hussain*,
Zhiwen Liu* and Huaiqing Zuo),
Geometriae Dedicata, Vol.
217, No. 34 (2023), 1-35.
12.
k-th singular locus moduli algebras of singularities and
their derivation Lie algebras
(with Guorui Ma and Huaiqing
Zuo), Journal of Mathematical Physics, Vol. 64:031701
(2023), 1-13
13.
Higher
Nash blow-up local algebras of singularities and its derivation Lie algebras
(with Naveed Hussain, Guorui Ma and Huaiqing Zuo), Journal of
Algebra, Vol. 618 (2023), 165-194.
14.
Complex
structures of a twenty dimensional family of Calabi-Yau
3-folds (with Chuangqiang Hu and Huaiqing Zuo), Communications in
Analysis and Geometry, Vol. 30, No. 8 (2022), 1825-1831.
15.
Non-existence
of negative weight derivations of the local 1-st Hessian algebra of
singularities (with Shuanghe Fan and Huaiqing Zuo), Asian Journal of
Mathematics, Vol.
26, No. 3 (2022), 289-372.
16.
On
Derivation Lie Algebras of Singularities and Torelli-Type
Theorems (with Huaiqing Zuo),
Notices of the ICCM, Vol. 10, No. 2 (2022), 30-39.
17. Generalized Cartan
matrices associated to k-th Yau algebras of
singularities and Characterization theorem (with Naveed Hussain and Huaiqing Zuo), Algebras and
Representation Theory, Vol. 25 (2022), 1461-492.
18. An inequality conjecture and a weak Torelli-type theorem for isolated complete intersection
singularities (with Naveed Hussain and Huaiqing Zuo), Journal of Geometry and Physics, Vol. 178 (2022),
104542, 1-19.
19.
New
k-th Yau
Algebras of Isolated Hypersurface Singularities and Weak Torelli-Type
Theorem (with Naveed Hussain and Huaiqing Zuo), Mathematical Research Letters, Vol. 29, No. 2 (2022),
455-486.
20.
Classification
of the nilradical of k-th Yau algebras arising
from singularities (with Naveed Hussain and Huaiqing
Zuo), Pure and Applied Mathematics Quarterly, Vol. 18,
No. 3 (2022), 835-862.
21.
Kohn-Rossi
Cohomology and Complex Plateau Problem (with Xiankui Meng), Pure and Applied Mathematics Quarterly, Vol.
18, No. 2 (2022), 683-718.
22.
Geometric
nilpotent Lie algebras and zero-dimensional simple complete intersection
singularities (with Naveed Hussain and Huaiqing Zuo), Forum Mathematicum, Vol.
34, No. 2 (2022), 323-345.
23.
Rigidity
of CR morphisms (with Xiankui Meng), Pacific
Journal of Mathematics, Vol. 316, No. 1 (2022), 207-216.
24.
ON
THE DIMENSION OF A NEW CLASS OF DERIVATION LIE ALGEBRAS ASSOCIATED TO
SINGULARITIES (with Naveed Hussain and Huaiqing Zuo), Mathematics, Vol. 9, No. 14 (2021), 1-15.
25.
Derivation
Lie Algebras of New k-TH Local
Algebras of Isolated Hypersurface Singularities (with Naveed Hussain and Huaiqing Zuo), Pacific Journal of
Mathematics, Vol. 314, No. 2 (2021), 311-331.
26.
Inequality
conjectures on derivations of local k-th Hessain algebras associated to isolated hypersurface
singularities (with Naveed Hussain and Huaiqing Zuo), Mathematische Zeitschrift, Vol. 298 (2021), 1813-1829.
27.
On
the Generalized Cartan Matrices Arising from k-th Yau Algebras of Isolated Hypersurface Singularities
(with Naveed Hussain and Huaiqing Zuo),
Algebras and Representation Theory, Vol. 24 (2021), 1101-1124.
28.
On
two inequality conjectures for the k-th Yau numbers of isolated hypersurface singularities
(with Naveed Hussain, and Huaiqing Zuo), Geometriae Dedicata, Vol. 212 (2021), 57-71.
29.
kth Yau
number of isolated hypersurface singularities and an inequality conjecture (with Naveed Hussain and Huaiqing
Zuo), Journal of the Australian Mathematical Society,
Vol. 110 (2021), 94-118.
30.
4D N = 2 SCFT and singularity theory part
IV: isolated rational Gorenstein non-complete
intersection singularities with at least one-dimensional deformation and
nontrivial T2 (with Bingyi Chen,
Shing-Tung Yau and Huaiqing Zuo),
Mathematical Research Letters, Vol. 28, No 1 (2021), 1-23.
31. Recent results on k-th Yau algebras over simple elliptic singularities ~E6 (with Chuangqiang Hu and Huaiqing Zuo), Surveys in Differential Geometry, Vol. 23 (2020), 213-240.
32.
On
the non-existence of negative weight derivations of the new moduli algebras of
singularities (with Guorui Ma and Huaiqing Zuo), Journal of
Algebra, Vol. 564 (2020), 199-246.
33.
Variation
of complex structures and variation of Lie algebras II: new Lie algebras
arising from singularities (with Bingyi Chen,
Naveed Hussain and Huaiqing Zuo),
Journal of Differential Geometry, Vol. 115, No. 3 (2020), 437-473.
34.
The
Nonexistence of Negative Weight Derivations on Positive Dimensional Isolated
Singularities: Generalized Wahl Conjecture (with Bingyi
Chen, Hao Chen and Huaiqing Zuo),
Journal of Differential Geometry, Vol. 115, No. 2 (2020), 195-224.
35.
On
classification of toric surface codes of dimension
seven (with Naveed Hussain, Xue Luo, Mingyi Zhang and Huaiqing Zuo), Communications in Analysis and Geometry, Vol. 28, No.
2 (2020), 263-319.
36.
Generalized
Cartan matrices arising from new derivation Lie
algebras of isolated hypersurface singularities (with Naveed Hussain and Huaiqing Zuo), Pacific Journal of
Mathematics, Vol. 305, No. 1 (2020), 189-217.
37.
On
the new k-th Yau algebras of isolated hypersurface singularities
(with Naveed Hussain and Huaiqing Zuo),
Mathematische Zeitschrift,
Vol. 294 (2020), 331-358.
38.
Complete
Weight Distributions and MacWilliams Identities for
Asymmetric Quantum Codes (with Chuangqiang Hu,
and Shudi Yang), IEEE Access, Vol. 7 (2019), 68404-
68414.
39.
Non-existence
of negative weight derivations on positively graded Artinian algebras (with
Hao Chen and Huaiqing Zuo),
Transactions of the American Mathematical Society, Vol. 372, No. 4 (2019), 2493-2535.
40.
Kohn-Rossi
cohomology and nonexistence of CR morphisms between
compact strongly pseudoconvex CR manifolds (with Huaiqing Zuo), Journal of
Differential Geometry, Vol. 111 (2019), 567-580.
41.
4d
N = 2 SCFT and singularity theory Part III: Rigid singularity (with Bingyi Chen, Dan Xie, Shing-Tung
Yau and Huaiqing Zuo),
Advances in Theoretical and Mathematical Physics, Vol. 22, No. 8 (2018),
1885-1905.
42.
On
the derivation Lie algebras fewnomial singularities
(with Naveed Hussain and Huaiqing Zuo),
Bulletin of the Australian Mathematical Society, Vol. 98 (2018), 77-88.
43.
Sharp
Upper Estimate of Geometric Genus and Coordinate-free Characterization of
Isolated Homogeneous Hypersurface Singularities (with Ke-Pao
Lin, S. Raghuvanshi and Huaiqing Zuo),
Asian Journal of Mathematics, Vol. 22, No. 4 (2018), 599-646.
44.
A
sharp lower bound for the geometric genus and Zariski multiplicity question
(with Huaiqing Zuo), Mathematische Zeitschrift, Vol.
289 (2018), 1299-1310.
45.
4d N
= 2 SCFT from Complete Intersection Singularity (with Yifan Wang, Dan Xie, and Shing-Tung Yau), Advances in Theoretical and
Mathematical Physics, Vol. 21, No. 3 (2017), 801-855.
46.
Thom-Sebastiani properties of Kohn-Rossi cohomology
of compact connected strongly pseudoconvex CR
manifolds (with Huaiqing Zuo),
Science China Mathematics, Vol. 60, No. 6 (2017), 1129-1136.
47.
4d
N=2 SCFT and singularity theory Part II: Complete intersection (with Bingyi Chen, Dan Xie, Shing-Tung Yau and Huaiqing Zuo), Advances in Theoretical and Mathematical Physics,
Vol. 21, No. 1 (2017), 121-145.
48.
On
the Sharp Polynomial Upper Estimate Conjecture in Eight-Dimensional Simplex
(with Ke-Pao Lin, Andrew Yang and Huaiqing
Zuo), Pure and Applied Mathematics Quarterly, Vol.
12, No. 3 (2016), 353-398.
49.
A
Sharp upper estimate conjecture for the Yau number of a weighted homogeneous
isolated hypersurface singularity (with Huai Qing
Zuo), Pure and Applied Mathematics Quarterly, Vol.
12, No. 1 (2016), 165-181.
50.
Derivations
of the moduli algebras of weighted homogeneous hypersurface singularities
(with Huaiqing Zuo),
Journal of Algebra, Vol. 457 (2016), 18-25.
51.
A
sharp estimate of positive integral points in 6-dimensional polyhedra
and a sharp estimate of smooth numbers (with Andrew Liang and Huaiqing Zuo), SCIENCE CHINA
Mathematics, Vol. 59, No. 3 (2016), 425-444.
52.
On
the polynomial sharp upper estimate conjecture in 7-dimensional simplex
(with Beihui Yuan and Huaiqing
Zuo), Journal of Number Theory, Vol. 160 (2016),
254-286.
53.
On
higher dimensional complex Plateau problem (with Rong Du and Yun Gao), Mathematische Zeitschrift, Vol. 282 (2016), 389-403.
54.
Topological
Classification of Simplest Gorenstein Non-complete
Intersection Singularities of Dimension 2 (with Mingyi
Zhang and Huaiqing Zuo),
Asian Journal of Mathematics, Vol. 19, No. 4 (2015), 651-792.
55.
Plurigenera of compact connected strongly pseudoconvex CR manifolds (with Ke-Pao
Lin and Huaiqing Zuo),
Science China Mathematics, Vol. 58, No. 3 (2015), 525-530.
56.
Complete
characterization of isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific Journal of Mathematics, Vol. 273, No. 1
(2015), 213-224.
57.
A
sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron
and a sharp estimate of the Dickman-de Bruijn function (with Xue Luo and Huaiqing Zuo), Mathematische Nachrichten, Vol. 288, No. 1 (2015), 61-75.
58.
On a
number-theoretic conjecture on positive integral points in a 5-dimensional
tetrahedron and a sharp estimate of the Dickman-De Bruijn function (with Ke-Pao Lin, Xue Luo, and Huaiqing Zuo), Journal of the European Mathematical Society, Vol. 16
(2014), 1937-1966.
59.
On
variance of exponents for isolated surface singularities with modality ≤
2 (with Huaiqing Zuo),
Science China Mathematics, Vol. 57, No. 1 (2014), 31-41.
60.
Several
splitting criteria for vector bundles and reflexive sheaves (with Fei Ye),
Pacific Journal of Mathematics, Vol. 266, No. 2 (2013), 449-456.
61.
Nonconstant
CR morphisms between compact strongly pseudoconvex CR
manifolds and etale covering between resolutions of
isolated singularities (with Yu-Chao
Tu and Huaiqing Zuo), J.
Differential Geometry, Vol. 95 (2013), 337-354.
62.
Characterization
of isolated complete intersection singularities with C*-action of dimension n≥2
by means of geometric genus and irregularity (with Huaiqing
Zuo), Communications in Analysis and Geometry, Vol.
21, No. 3 (2013), 509-526.
63.
Sharp
polynomial estimate of integral points in right-angled simplices (with
Linda Zhao), Journal of Number Theory, Vol. 133, No. 2 (2013), 398-425.
64.
Lower
estimate of milnor number and characterization of
isolated homogeneous hypersurface singularities (with Huaiqing Zuo), Pacific J. math., Vol. 260, No. 1 (2012), 245-255.
65.
Kohn-Rossi
cohomology and its application to the complex plateau
problem, III (with Rong Du), J.
Differential Geometry, Vol. 90 (2012), 251-266.
66.
New
invariants for complex manifolds and isolated singularities (with Rong Du and Hing Sun Luk),
Communications in Analysis and Geometry, Vol. 19, No. 5 (2011), 991-1021.
67.
Coordinate-free
characterization of homogeneous polynomials with isolated singularities
(with Irene Chen, Ke-Pao Lin, and Huaiqing
Zuo), Communications in analysis and geometry, Vol.
19, No. 4 (2011), 661-704.
68.
A
note on the topology of the complements of fiber-type line arrangements in CP2
(with Shengli Tan and Fei Ye), Pacific Journal of
Mathematics, Vol. 251, No.1 (2011), 207-218.
69.
Rigidity
of CR morphisms between compact strongly pseudoconvex
CR manifolds, Journal of European
Mathematical Society, Vol. 13 (2011), 175-184.
70.
Explicit
Construction of Moduli Space of Bounded Complete Reinhardt Domains in Cn (with Rong Du and Yun Gao), Communications in Analysis
and Geometry, Vol. 18, No. 3 (2010), 601-626.
71.
Lojasiewicz inequality for weighted homogeneous polynomial
with isolated singularity (with Shengli Tan and Huaiqing Zuo), Proceeding of the
Amer. Math. Soc. Vol. 138, No. 11 (2010), 3975-3984.
72.
Local
holomorphic De Rham cohomology
(with Rong Du), Communications in Analysis and Geometry, Vol. 18, No. 2 (2010),
365-374.
73.
The
second pluri-genus of smoothable Gorenstein
surface singularities (with Rong Du), Science China Mathematics, Vol. 53,
No. 3 (2010), 635-639.
74.
Spherical
extension property no longer true for domains in algebraic variety with
isolated singularity (with Shanyu Ji and Cheng
Zhan), Science China Mathematics, Vol. 53, No.2 (2010), 257-260.
75.
Diffeomorphic
types of complements of nice point arrangements in CPl (with Fei YE),
Science in China, Series A Mathematics, Vol. 52, No. 12 (2009), 2774-2791.
76.
Classification
of gradient space of dimension 8 by a reducible sl(2,C)
action (with Yung Yu and Huaiqing Zuo), Science in China, Series A Mathematics, Vol. 52, No.
12 (2009), 2792-2828.
77.
Some
Primitive Linear Groups of Prime degree (with Ming-chang
Kang, Ji-ping Zhang, Jian-yi Shi and Yung Yu),
Journal of Mathematical Society of Japan, Vol. 61, No. 4 (2009), 1013-1070.
78.
Higher
order Bergman functions and explicit construction of moduli space for complete
Reinhardt domains (with Rong DU),
Journal of Differential Geometry, Vol. 82 (2009), 567-610.
79.
On
formulas of Dedekind sums and the number of lattice points in tetrahedra
(with Letian Zhang), Journal of Number Theory, Vol.
129 (2009), 1931-1955.
80.
Classification
of weight dual graphs with only complete intersection singularities structures (with Fan Chung Graham and Y.-J. Xu), Trans. Amer. Math.
Soc, Vol. 361, No. 7 (2009), 3535-3596.
81.
The
diffeomorphic types of the complements of arrangements in CP3 II
(with Shaobo Wang), Science in China, Series A: Mathematics,
Vol. 51, No. 4, (2008), 785-802.
82.
Kohn-Rossi
cohomology and its application to the complex plateau
problem, II (with H.S. Luk), Journal of Differential Geometry, Vol. 77, No. 1
(2007), 135-148.
83.
the
Diffeomorphic types of the complements of arrangements in CP3 I:
point arrangements (with Shaobo Wang), Journal of
Math. Soc. of Japan, Vol. 59, No.2 (2007), 423-447.
84.
On
the GLY conjecture of upper estimate of positive integral points in real
right-angled simplices (with Xuejun Wang),
Journal of Number Theory, Vol. 122, No. 1 (2007), 184-210.
85.
An
upper estimate of integral points in real simplices with application to
singularity theory (with Letian Zhang), Math.
Research Letter, Vol. 13, No. 6 (2006), 911-922.
86.
Characterization
of isolated homogeneous hypersurface singularities in C4 (with Kepao Lin and Zhanhan Tu),
Science in China. Series A: Mathematics, Vol. 49, No. 11 (2006), 1576-1592.
87.
A
remark on lower bound of Milnor number and characterization of homogeneous
hypersurface singularities (with Ke-Pao Lin, Xi
Wu and Hing-Sun Luk), Communications in Analysis and
Geometry, Vol. 14, No. 4 (2006), 625-632.
88.
On a
CR family of compact strongly pseudoconvex CR
manifolds (with X. Huang and H.S. Luk), Journal of Differential Geometry, Vol. 72, No. 3
(2006), 353-379.
89.
Complete
invariant of a family of strongly pseudoconvex domains
in A1-singularity: Bergman
function (with Hing Sun Luk and Weitian Zang),
Contemporary Math., AMS, Vol. 400 (2006), 161-171.
90.
General
Finite type IFS and M-matrix (with Ning Jin),
Communication in Analysis and Geometry, Vol. 13, No. 4 (2005), 821-843.
91.
Rigidity
of differentiable structure for new class of line arrangements (with Shaobo Wang), Communications in Analysis and Geometry, Vol.
13, No. 5 (2005), 1057-1075.
92.
Classification
of 3-dimensional isolated rational hypersurface singularities with C*-action, (with Yung Yu), Rocky Mountain Journal of Mathematics,
Vol. 35, Issue 4 (2005), 1795-1802.
93.
Global
invariants for strongly pseudoconvex varieties with
isolated singularities: Bergman functions, Mathematical Research Letter, Vol. 11 (2004), 809-832.
94.
Classification
of affine varieties being cones over nonsingular projective varieties:
hypersurface case (with Ke-Pao Lin), Communications
in Analysis and Geometry. Vol. 12, No. 5 (2004), 1201-1219.
95.
Lower
estimate of multiplicity of isolated complete intersection singularities with
applications in weakly elliptic singularities (with Yijing
Xu), Mathematical Research Letter, Vol. 11 (2004), 59-71.
96.
Hausdorff dimension of invariant c-vector of M-matrix and
self-affine fractals (with Ning Jin), Asian
Journal of Mathematics, Vol. 8, No. 2 (2004), 259-286.
97.
Holomorphic
De-Rham cohomology of
strongly pseudoconvex CR manifolds with holomorphic S1-actions (with Hing Sun Luk), Journal
of Differential Geometry, Vol. 63 (2003), 155-170.
98.
Some
remarks on the local moduli of tangent bundles over complex surfaces (with
W.S. Cheung and B. Wong), Amer. J. Math., Vol. 125 (2003), 1029-1035.
99.
Punctured
local holomorphic de Rham cohomology
(with Xiaojun Huang and Hing Sun Luk),
Journal of the Math. Soc. of Japan, Vol. 55, No. 3 (2003), 633-640.
100.
Counting
the number of integral points in general n-dimensional
Tetrahedra and Bernoulli polynomials (with K.P. Lin), Canadian Mathematical
Bulletin, Vol. 46, No. 2 (2003), 229-241.
101.
Algebraic
classification of rational CR-structures on topological 5-sphere with
transversal holomorphic S1-action in C4 (with Yung Yu), Math. Nachr.,
Vol. 246-247 (2002), 207-233.
102.
Analysis
for a sharp polynomial upper estimate of the number of positive integral points
in a 4-dimensional tetrahedron (with Ke-Pao Lin),
J. Reine Angew. Math., Vol. 547 (2002), 191-205.
103.
A
sharp upper estimate of the number of integral points in a 5-dimensional
Tetrahedra (with Ke-Pao Lin), Journal of Number
Theory, Vol. 93 (2002), 207-234.
104.
Bergman
kernels on resolutions of isolated singularities (with H.S. Luk and L.Y. Yeh), Mathematical Research Letters, Vol. 8
(2001), 303-319.
105.
An
example of a real analytic strongly pseudoconvex
hypersurfaces which is not holomorphically equivalent to any algebraic
hypersurfaces (with Xiaojun Huang and Shanyu Ji), Arkiv for Mathematik, Vol. 39 (2001), 75-93.
106.
Simple
geometric characterization of supersolvable
arrangements (with Tan Jiang and Larn-Ying Yeh),
Rocky Mountain Journal of Mathematics, Vol. 31, No. 1 (2001), 303-312.
107.
Algebraic
determination of isomorphism classes of the moduli algebras of E6 singularities (with Hao Chen, and Craig Seeley), Math. Ann., Vol. 318
(2000), 637-666.
108.
Moduli
and Modular groups of a class of Calabi-Yau
n-dimensional manifolds, n≥3
(with Hao Chen), Journal of Differential Geometry, Vol.54, No. 1 (1999), 1-12.
109.
Counterexample
to boundary regularity of a strongly pseudoconvex CR
submanifold: An addendum to the paper of Harvey-Lawson (with Hing Sun Luk), Annals of
Mathematics, Vol. 148 (1998), 1153-1154.
110.
Intersection
lattices and topological structures of complements of arrangements in CP2
(with Tan Jiang), Ann. Scuola Norm. Sup. Pisa Cl. Sci
(4), Vol. XXVI (1998), 357-381.
111.
Explicit
construction of graph invariant for strongly pseudo-convex compact
3-dimensional rational CR manifolds (with Hing-Sun Luk),
Compositio Mathematica, Vol. 114 (1998), 77-111.
112.
A
sharp estimate of the number of integral points in a 4-dimensimal tetrahedron
(with Yi-Jing Xu), Journal fur die reine und ange wandte Mathematik,
Vol. 473 (1996), 1-23.
113.
Microlocal
characterization of quasi-homogeneous singularities (with Yijing Xu), Amer. J.
Math, Vol. 118 (1996), 389-399.
114.
Invariant
Kohn-Rossi cohomology and obstruction to embedding of
compact real (2n-1)-dimensional CR
manifolds in CN (with H.-S. Luk), Journal of
the Mathematical Society of Japan, Vol. 48 (1996), 61-68.
115.
Nonexistence
of Negative Weight Derivation of Moduli Algebras of Weighted Homogeneous
Singularities (with Hao Chen and Yi-Jing Xu), Journal of Algebra, Vol. 172
(1995), 243-254.
116.
Algebraic
classification and obstructions of embedding of strongly Pseudoconvex
compact 3- dimensional CR manifolds in C3 (with Hing Sun Luk and Yung Yu), Math. Nachr.,
Vol. 170 (1994), 183-200.
117.
Diffeomorphic
types of the complements of arrangements of hyperplanes (with Tan Jiang), Composito Mathematica, Vol. 92, No. 2 (1994), 133-155.
118.
Cohomology and Splitting Criterion for holomorphic vector
bundles on CPn (with Hing Sun Luk), Math. Nachr., Vol. 161
(1993), 223-238.
119.
Gorenstein quotient singularities in dimension three
(with Yung Yu), Mem. Amer. Math. Soc., Vol. 105, No. 105 (1993), 1-81.
120.
Durfee
conjecture and coordinate free characterization of homogeneous singularities
(with Yi-Jing Xu), Journal of Differential Geometry, Vol. 37 (1993), 375-396.
121.
A Sharp
estimate of the number of integral points in a tetrahedron (with Yi-Jing
Xu), Journal fur die reine und angewandte
Mathematik, Vol. 423 (1992), 199-219.
122.
Classification
of gradient space as sl(2,C)-module I (with J.
Sampson and Yung Yu), Amer. J. Math., Vol. 114 (1992), 1147-1161.
123.
Solvability
of Lie algebras arising from isolated singularities and nonisolatedness
of singularities defined by sl(2,C) invariant polynomials, Amer. J. Math., Vol. 113 (1991), 773-778.
124.
Regularity
for the Harvey-Lawson solutions to the complex Plateau problem, J.
Differential Geom., Vol. 34 (1991), 425-429.
125.
A remark
on moduli of complex hypersurface,
Amer. J. Math., Vol. 113 (1990), 287-292.
126.
An
obstruction for smoothing of Gorenstein surface
singularities (with A. Libgober), Comment. Math. Helv., Vol. 65 (1990), 413-433.
127.
Equivalence
between isolated hypersurface singularities (with Max Benson), Math. Ann., Vol. 287 (1990), 107-134.
128.
Variation
of complex structures and variation of Lie algebras (with Craig Seeley), Invent. Math., Vol. 99 (1990), 545-565.
129.
the
Multiplicity of isolated two-dimensional hypersurface singularities: Zariski
problem, Amer. J. Math., Vol. 111
(1989), 753-767.
130.
Classification
of topological types of isolated quasi-homogeneous two-dimensional hypersurface
singularities (with Yijing Xu), Mancripta Math., Vol. 64 (1989), 445-469.
131.
Classification
of Jacobian ideals invariant by sl(2,C) actions,
Mem. Amer. Math. Soc., Vol. 72 (1988), 1-180.
132.
Holomorphic
symmetries (with Blaine Lawson), Ann. Sci.
Ecole Norm. Sup. 4e series, t., Vol. 20 (1987), 557-577.
133.
Lie
algebras and their representations arising from isolated singularities:
Computer method in calculating the Lie algebra and their cohomology
(with Max Benson), Adv. Stud. Pure Math. 8, Complex Analytic Singularities
(1986), 3-58.
134.
Singularities
defined by sl(2,C) invariant polynomials and
solvability of Lie algebras arising from isolated singularities, Amer. J.
Math., Vol. 108 (1986), 1215-1239.
135.
Solvable
Lie algebras and generalized Cartan Matrices arising
from isolated singularities, Math. Z., Vol. 191 (1986), 489-506.
136.
An
estimate of the gap of the first two eigenvalues in the Schrodinger operator (with I.M. Singer, Bun Wong and Shing-Tung Yau), Ann. Scuola Norm. Sup., Pisa, Classe
di Scienze, Serie IV, Vol. XII, No. 2 (1985),
319-333.
137.
Continuous
family of finite-dimensional representations of a solvable Lie algebra arising
from singularities, Proc. Nat. Acad.
Sci. U.S.A., Vol. 80 (1983), 7694-7696.
138.
Various
numerical invariants for isolated singularities, Amer. J. Math., Vol. 104,
No. 5 (1982), 1063-1100.
139.
Classification
of isolated hypersurface singularities by their moduli algebras (with John Mather), Invent. Math., Vol. 69 (1982),
243-251.
140.
S(n-1) invariant for isolated n-dimensional singularities and its
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