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## Siu, Yum-Tong

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 Author ID: siu.yum-tong Published as: Siu, Y. T.; Siu, Y.-T.; Siu, Yum Tong; Siu, Yum-Tong; Siu, Yumtong Homepage: http://www.math.harvard.edu/~siu External Links: MGP · Math-Net.Ru · Wikidata · GND
 Documents Indexed: 144 Publications since 1965, including 14 Books Biographic References: 3 Publications
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#### Co-Authors

 108 single-authored 6 Yau, Shing-Tung 5 Trautmann, Günther 5 Yeung, Sai-Kee 3 Range, R. Michael 2 Chang, Der-Chen E. 2 Cheng, Jih-Hsin 2 Demailly, Jean-Pierre 2 Greiner, Peter C. 2 Huang, Xiaojun 2 Kohn, Joseph J. 2 Mok, Ngaiming 2 Peternell, Thomas Martin 2 Schneider, Michael 2 Schumacher, Georg 1 Andreotti, Aldo 1 Angehrn, Urban 1 Bando, Shigetoshi 1 Baouendi, Mohammed Salah 1 Barlet, Daniel 1 Bauer, Ingrid C. 1 Bloom, Thomas 1 Catanese, Fabrizio M. E. 1 Catlin, David W. 1 D’Angelo, John P. 1 Huckleberry, Alan Trinler 1 Kawamata, Yujiro 1 Kebekus, Stefan 1 Lieb, Ingo 1 Lu, Qikeng 1 Mostow, George Daniel 1 Norguet, François 1 Ohsawa, Takeo 1 Paun, Mihai 1 Remmert, Reinhold W. 1 Skoda, Henri 1 Yang, Paul C. P. 1 Yau, Stephen Shing-Toung
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#### Serials

 11 Inventiones Mathematicae 10 Mathematische Annalen 9 Annals of Mathematics. Second Series 6 Duke Mathematical Journal 6 Transactions of the American Mathematical Society 6 Bulletin of the American Mathematical Society 5 Proceedings of the American Mathematical Society 4 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 American Journal of Mathematics 2 Compositio Mathematica 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Tohoku Mathematical Journal. Second Series 2 Science in China. Series A 2 Proceedings of the National Academy of Sciences of the United States of America 2 Notices of the American Mathematical Society 2 Oberwolfach Reports 2 Pure and Applied Mathematics Quarterly 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Mathematical Sciences Research Institute Publications 2 Science China. Mathematics 1 Houston Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Southeast Asian Bulletin of Mathematics 1 Annals of Mathematics Studies 1 Contemporary Mathematics 1 DMV Seminar 1 Lecture Notes in Mathematics 1 Lecture Notes in Pure and Applied Mathematics 1 Proceedings of Symposia in Pure Mathematics
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#### Fields

 108 Several complex variables and analytic spaces (32-XX) 36 Differential geometry (53-XX) 24 Algebraic geometry (14-XX) 12 General and overarching topics; collections (00-XX) 11 Global analysis, analysis on manifolds (58-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 3 Algebraic topology (55-XX) 2 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX)

#### Citations contained in zbMATH Open

111 Publications have been cited 1,980 times in 1,404 Documents Cited by Year
Analyticity of sets associated to Lelong numbers and the extension of closed positive currents. Zbl 0289.32003
Siu, Yum-Tong
1974
Every Stein subvariety admits a Stein neighborhood. Zbl 0343.32014
Siu, Yum-Tong
1976
The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds. Zbl 0517.53058
Siu, Yum-Tong
1980
Compact Kähler manifolds of positive bisectional curvature. Zbl 0442.53056
Siu, Yum-Tong; Yau, Shing-Tung
1980
Invariance of plurigenera. Zbl 0955.32017
Siu, Yum-Tong
1998
Lectures on Hermitian-Einstein metrics for stable bundles and Kähler- Einstein metrics. Delivered at the German Mathematical Society Seminar in Düsseldorf (FRG) in June, 1986. Zbl 0631.53004
Siu, Yum-Tong
1987
Gap-sheaves and extension of coherent analytic subsheaves. Zbl 0208.10403
Siu, Yum-Tong; Trautmann, Günther
1971
Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems. Zbl 0497.32025
Siu, Yum-Tong
1982
Extension of twisted pluricanonical sections with plurisubharmonic weight and invariance of semipositively twisted plurigenera for manifolds not necessarily of general type. Zbl 1007.32010
Siu, Yum-Tong
2002
Stable sheaves and Einstein-Hermitian metrics. Zbl 0880.32004
Bando, Shigetoshi; Siu, Yum-Tong
1994
Techniques of extension of analytic objects. Zbl 0294.32007
Siu, Yum-Tong
1974
Effective freeness and point separation for adjoint bundles. Zbl 0847.32035
Angehrn, Urban; Siu, Yum-Tong
1995
The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group. Zbl 0651.53035
Siu, Yum-Tong
1988
Every K 3 surface is Kähler. Zbl 0557.32004
Siu, Y.-T.
1983
A compact Kähler surface of negative curvature not covered by the ball. Zbl 0453.53047
Mostow, G. D.; Siu, Yum-Tong
1980
The Fujita conjecture and the extension theorem of Ohsawa-Takegoshi. Zbl 0941.32021
Siu, Yum-Tong
1996
A vanishing theorem for semipositive line bundles over non-Kähler manifolds. Zbl 0577.32031
Siu, Yum-Tong
1984
Projective embedding of pseudoconcave spaces. Zbl 0195.36901
Andreotti, Aldo; Siu, Yum-Tong
1970
The Poincaré-Lelong equation on complete Kähler manifolds. Zbl 0531.32007
Mok, Ngaiming; Siu, Yum-Tong; Yau, Shing-Tung
1981
Uniform estimates for the $$\bar\partial$$-equation on domains with piecewise smooth strictly pseudoconvex boundaries. Zbl 0248.32015
Range, R. Michael; Siu, Yum-Tong
1973
Geometric superrigidity. Zbl 0808.53043
Mok, Ngaiming; Siu, Yum-Tong; Yeung, Sai-Kee
1993
Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay. Zbl 0358.32006
Siu, Yum-Tong; Yau, Shing-Tung
1977
Multiplier ideal sheaves in complex and algebraic geometry. Zbl 1131.32010
Siu, Yumtong
2005
Extension of meromorphic maps into Kähler manifolds. Zbl 0318.32007
Siu, Yum-Tong
1975
Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension $$\geq 3$$. Zbl 0980.53065
Siu, Yum-Tong
2000
Pseudoconvexity and the problem of Levi. Zbl 0423.32008
Siu, Yum-Tong
1978
Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees. Zbl 0947.32012
Siu, Yum-Tong; Yeung, Sai-Kee
1997
Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane. Zbl 0856.32017
Siu, Yum-Tong; Yeung, Sai-kee
1996
Analytic sheaf cohomology groups of dimension n of $$n$$-dimensional complex spaces. Zbl 0186.40404
Siu, Y.-T.
1969
An effective Matsusaka big theorem. Zbl 0803.32017
Siu, Yum-Tong
1993
Extending coherent analytic sheaves. Zbl 0181.36301
Siu, Y.-T.
1969
Hyperbolicity in complex geometry. Zbl 1076.32011
Siu, Yum-Tong
2004
$$\bar\partial$$-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics. Zbl 1030.53071
Siu, Yum-Tong
2002
Strong rigidity of compact quotients of exceptional bounded symmetric domains. Zbl 0496.32020
Siu, Yum-Tong
1981
Deformations of coherent analytic sheaves with compact supports. Zbl 0526.32021
Siu, Yum-Tong; Trautmann, Günther
1981
Noetherianness of rings of holomorphic functions on Stein compact subsets. Zbl 0175.37402
Siu, Yum-Tong
1969
A simple proof of the surjectivity of the period map of K3 surfaces. Zbl 0497.32019
Siu, Yum-Tong
1981
Noether-Lasker decomposition of coherent analytic subsheaves. Zbl 0175.37403
Siu, Yum-Tong
1969
Holomorphic convexity of spaces of analytic cycles. Zbl 0382.32010
Norguet, François; Siu, Yum-Tong
1977
Holomorphic fiber bundles whose fibers are bounded Stein domains with zero first Betti number. Zbl 0318.32010
Siu, Yum-Tong
1976
Defect relations for holomorphic maps between spaces of different dimensions. Zbl 0623.32018
Siu, Yum-Tong
1987
Compactification of negatively curved complete Kaehler manifolds of finite volume. Zbl 0493.53049
Siu, Yum-Tong; Yau, Shing-Tung
1982
Absolute gap-sheaves and extensions of coherent analytic sheyves. Zbl 0184.11001
Siu, Y. T.
1969
C$$^k$$ approximation by holomorphic functions and $$\bar \partial$$-closed forms on C$$^k$$ submanifolds of a complex manifold. Zbl 0275.32008
Range, R. Michael; Siu, Yum-Tong
1974
Hyperbolicity of generic high-degree hypersurfaces in complex projective space. Zbl 1333.32020
Siu, Yum-Tong
2015
Dynamic multiplier ideal sheaves and the construction of rational curves in Fano manifolds. Zbl 1201.14013
Siu, Yum-Tong
2009
Invariance of plurigenera and torsion-freeness of direct image sheaves of pluricanonial bundles. Zbl 1044.32016
Siu, Yum-Tong
2004
Curvature of the Weil-Petersson metric in the moduli space of compact Kähler-Einstein manifolds of negative first Chern class. Zbl 0598.32020
Siu, Yum-Tong
1986
All plane domains are Banach-Stein. Zbl 0294.32010
Siu, Yum-Tong
1974
Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps. Zbl 0282.32006
Siu, Yum-Tong
1974
A Hartogs type extension theorem for coherent analytic sheaves. Zbl 0208.10404
Siu, Y. T.
1971
Non-countable dimensions of cohomology groups of analytic sheaves and domains of holomorphy. Zbl 0167.06802
Siu, Y.-T.
1967
Some recent transcendental techniques in algebraic and complex geometry. Zbl 1028.32012
Siu, Yum-Tong
2002
Effective very ampleness. Zbl 0853.32034
Siu, Yum-Tong
1996
The $$\bar \partial$$ problem with uniform bounds on derivatives. Zbl 0256.35061
Siu, Yum-Tong
1974
Analytic sheaf cohomology groups of dimension n of $$n$$-dimensional noncompact complex manifolds. Zbl 0182.41504
Siu, Y.-T.
1969
Finite generation of canonical ring by analytic method. Zbl 1153.32021
Siu, Yum-Tong
2008
Analytic sheaves of local cohomology. Zbl 0195.36802
Siu, Yum-Tong
1970
The 1-convex generalization of Grauert’s direct image theorem. Zbl 0197.36101
Siu, Y.-T.
1971
Extension of locally free analytic sheaves. Zbl 0157.13301
Siu, Y. T.
1969
Effective termination of Kohn’s algorithm for subelliptic multipliers. Zbl 1235.32030
Siu, Yum-Tong
2010
Nondeformability of the complex projective space. Zbl 0671.32018
Siu, Yum-Tong
1989
Some recent results in complex manifold theory related to vanishing theorems for the semipositive case. Zbl 0577.32032
Siu, Yum-Tong
1985
Curvature characterization of hyperquadrics. Zbl 0468.53054
Siu, Yum-Tong
1980
A Thullen type extension theorem for positive holomorphic vector bundles. Zbl 0253.32016
Siu, Yum-Tong
1972
A pseudoconcave generalization of Grauert’s direct image theorem. I. Zbl 0195.36803
Siu, Yum-Tong
1970
A generalized Bloch’s theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety. Zbl 0882.32009
Siu, Yum-Tong; Yeung, Sai-Kee
1996
Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature. Zbl 0491.53041
Siu, Yum-Tong; Yang, Paul
1981
Abundance conjecture. Zbl 1263.14018
Siu, Yum-Tong
2011
Strong rigidity for Kähler manifolds and the construction of bounded holomorphic functions. Zbl 0647.53052
Siu, Yum-Tong
1987
Dimensions of sheaf cohomology groups under holomorphic deformation. Zbl 0213.09803
Siu, Y.-T.
1971
Addendum to “Defects for ample divisors of Abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees”. Zbl 1147.32303
Siu, Yum-Tong; Yeung, Sai-Kee
2003
Some remarks on the complex-analyticity of harmonic maps. Zbl 0439.53051
Siu, Yum-Tong
1979
A pseudoconvex-pseudoconcave generalization of Grauert’s direct image theorem. Zbl 0248.32014
Siu, Yum-Tong
1972
A pseudoconcave generalization of Grauert’s direct image theorem. II. Zbl 0206.09104
Siu, Y.-T.
1970
Holomorphic functions of polynomial growth on bounded domains. Zbl 0195.36801
Siu, Yum-Tong
1970
Extending coherent analytic sheaves through subvarieties. Zbl 0186.14002
Siu, Y.-T.
1969
Analytic sheaves of local cohomology. Zbl 0182.11201
Siu, Y.-T.
1969
Hilbert Nullstellensatz in global complex-analytic case. Zbl 0162.10401
Siu, Y. T.
1968
Section extension from hyperbolic geometry of punctured disk and holomorphic family of flat bundles. Zbl 1239.32020
Siu, Yum-Tong
2011
Nonequidimensional value distribution theory and meromorphic connections. Zbl 0716.32016
Siu, Yum-Tong
1990
Calculus inequalities derived from holomorphic Morse inequalities. Zbl 0701.32010
Siu, Yum-Tong
1990
Nonequidimensional value distribution theory and subvariety extension. Zbl 0591.32028
Siu, Yum-Tong
1986
Generalizations of Grauert’s direct image theorem. Zbl 0213.09802
Siu, Y.-T.
1971
$$O^ N$$-approximable and holomorphic functions on complex spaces. Zbl 0181.36202
Siu, Y.-T.
1969
A new bound for the effective Matsusaka big theorem. Zbl 1021.32007
Siu, Yum-Tong
2002
Recent techniques in hyperbolicity problems. Zbl 0960.32016
Siu, Yum-Tong
1999
Very ampleness criterion of double adjoints of ample line bundles. Zbl 0853.32035
Siu, Yum-Tong
1995
Errata for ”Nondeformability of the complex projective space”. Zbl 0752.32009
Siu, Yum-Tong
1992
Nonequidimensional value distribution theory. Zbl 0668.32024
Siu, Yum-Tong
1988
Extension problems in several complex variables. Zbl 0428.32009
Siu, Yum-Tong
1980
Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds. Zbl 0424.53038
Siu, Yum-Tong
1979
Extension of coherent analytic subsheaves. Zbl 0188.39204
Siu, Yum-Tong; Trautmann, Günther
1970
Nmal families of Cousin I and II data. Zbl 0191.37802
Siu, Y. T.
1969
Analytic sheaf cohomology with compact supports. Zbl 0175.37401
Siu, Yum-Tong
1969
Sheaf cohomology with bounds and bounded holomorphic functions. Zbl 0175.08904
Siu, Yum-Tong
1969
On the solution of the equation $$f'(x) =\lambda f(g(x))$$. Zbl 0128.30702
Siu, Y. T.
1965
New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm. Zbl 1402.32031
Siu, Yum-Tong
2017
Very ampleness part of Fujita’s conjecture and multiplier ideal sheaves of Kohn and Nadel. Zbl 1014.32016
Siu, Yum-Tong
2001
Several complex variables. Zbl 0933.00014
Schneider, Michael; Siu, Yum-Tong (ed.)
1999
New procedure to generate multipliers in complex Neumann problem and effective Kohn algorithm. Zbl 1402.32031
Siu, Yum-Tong
2017
Hyperbolicity of generic high-degree hypersurfaces in complex projective space. Zbl 1333.32020
Siu, Yum-Tong
2015
Abundance conjecture. Zbl 1263.14018
Siu, Yum-Tong
2011
Section extension from hyperbolic geometry of punctured disk and holomorphic family of flat bundles. Zbl 1239.32020
Siu, Yum-Tong
2011
Effective termination of Kohn’s algorithm for subelliptic multipliers. Zbl 1235.32030
Siu, Yum-Tong
2010
Dynamic multiplier ideal sheaves and the construction of rational curves in Fano manifolds. Zbl 1201.14013
Siu, Yum-Tong
2009
Finite generation of canonical ring by analytic method. Zbl 1153.32021
Siu, Yum-Tong
2008
Multiplier ideal sheaves in complex and algebraic geometry. Zbl 1131.32010
Siu, Yumtong
2005
Hyperbolicity in complex geometry. Zbl 1076.32011
Siu, Yum-Tong
2004
Invariance of plurigenera and torsion-freeness of direct image sheaves of pluricanonial bundles. Zbl 1044.32016
Siu, Yum-Tong
2004
Addendum to “Defects for ample divisors of Abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees”. Zbl 1147.32303
Siu, Yum-Tong; Yeung, Sai-Kee
2003
Extension of twisted pluricanonical sections with plurisubharmonic weight and invariance of semipositively twisted plurigenera for manifolds not necessarily of general type. Zbl 1007.32010
Siu, Yum-Tong
2002
$$\bar\partial$$-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics. Zbl 1030.53071
Siu, Yum-Tong
2002
Some recent transcendental techniques in algebraic and complex geometry. Zbl 1028.32012
Siu, Yum-Tong
2002
A new bound for the effective Matsusaka big theorem. Zbl 1021.32007
Siu, Yum-Tong
2002
Very ampleness part of Fujita’s conjecture and multiplier ideal sheaves of Kohn and Nadel. Zbl 1014.32016
Siu, Yum-Tong
2001
Nonexistence of smooth Levi-flat hypersurfaces in complex projective spaces of dimension $$\geq 3$$. Zbl 0980.53065
Siu, Yum-Tong
2000
Recent techniques in hyperbolicity problems. Zbl 0960.32016
Siu, Yum-Tong
1999
Several complex variables. Zbl 0933.00014
Schneider, Michael; Siu, Yum-Tong (ed.)
1999
Invariance of plurigenera. Zbl 0955.32017
Siu, Yum-Tong
1998
Defects for ample divisors of abelian varieties, Schwarz lemma, and hyperbolic hypersurfaces of low degrees. Zbl 0947.32012
Siu, Yum-Tong; Yeung, Sai-Kee
1997
The Fujita conjecture and the extension theorem of Ohsawa-Takegoshi. Zbl 0941.32021
Siu, Yum-Tong
1996
Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane. Zbl 0856.32017
Siu, Yum-Tong; Yeung, Sai-kee
1996
Effective very ampleness. Zbl 0853.32034
Siu, Yum-Tong
1996
A generalized Bloch’s theorem and the hyperbolicity of the complement of an ample divisor in an abelian variety. Zbl 0882.32009
Siu, Yum-Tong; Yeung, Sai-Kee
1996
Effective freeness and point separation for adjoint bundles. Zbl 0847.32035
Angehrn, Urban; Siu, Yum-Tong
1995
Very ampleness criterion of double adjoints of ample line bundles. Zbl 0853.32035
Siu, Yum-Tong
1995
Hyperbolicity problems in function theory. Zbl 0914.32007
Siu, Yum-Tong
1995
Stable sheaves and Einstein-Hermitian metrics. Zbl 0880.32004
Bando, Shigetoshi; Siu, Yum-Tong
1994
Geometric superrigidity. Zbl 0808.53043
Mok, Ngaiming; Siu, Yum-Tong; Yeung, Sai-Kee
1993
An effective Matsusaka big theorem. Zbl 0803.32017
Siu, Yum-Tong
1993
Errata for ”Nondeformability of the complex projective space”. Zbl 0752.32009
Siu, Yum-Tong
1992
Some recent results related to the uniformization problem in several complex variables. Zbl 0734.53052
Siu, Yum-Tong
1991
Some problems of rigidity in several complex variables. Zbl 0810.32007
Siu, Yum-Tong
1991
Global nondeformability of the complex projective space. Zbl 0748.32013
Siu, Yum-Tong
1991
Nonequidimensional value distribution theory and meromorphic connections. Zbl 0716.32016
Siu, Yum-Tong
1990
Calculus inequalities derived from holomorphic Morse inequalities. Zbl 0701.32010
Siu, Yum-Tong
1990
Nondeformability of the complex projective space. Zbl 0671.32018
Siu, Yum-Tong
1989
The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group. Zbl 0651.53035
Siu, Yum-Tong
1988
Nonequidimensional value distribution theory. Zbl 0668.32024
Siu, Yum-Tong
1988
Lectures on Hermitian-Einstein metrics for stable bundles and Kähler- Einstein metrics. Delivered at the German Mathematical Society Seminar in Düsseldorf (FRG) in June, 1986. Zbl 0631.53004
Siu, Yum-Tong
1987
Defect relations for holomorphic maps between spaces of different dimensions. Zbl 0623.32018
Siu, Yum-Tong
1987
Strong rigidity for Kähler manifolds and the construction of bounded holomorphic functions. Zbl 0647.53052
Siu, Yum-Tong
1987
Curvature of the Weil-Petersson metric in the moduli space of compact Kähler-Einstein manifolds of negative first Chern class. Zbl 0598.32020
Siu, Yum-Tong
1986
Nonequidimensional value distribution theory and subvariety extension. Zbl 0591.32028
Siu, Yum-Tong
1986
Some recent results in complex manifold theory related to vanishing theorems for the semipositive case. Zbl 0577.32032
Siu, Yum-Tong
1985
A vanishing theorem for semipositive line bundles over non-Kähler manifolds. Zbl 0577.32031
Siu, Yum-Tong
1984
Every K 3 surface is Kähler. Zbl 0557.32004
Siu, Y.-T.
1983
Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems. Zbl 0497.32025
Siu, Yum-Tong
1982
Compactification of negatively curved complete Kaehler manifolds of finite volume. Zbl 0493.53049
Siu, Yum-Tong; Yau, Shing-Tung
1982
The Poincaré-Lelong equation on complete Kähler manifolds. Zbl 0531.32007
Mok, Ngaiming; Siu, Yum-Tong; Yau, Shing-Tung
1981
Strong rigidity of compact quotients of exceptional bounded symmetric domains. Zbl 0496.32020
Siu, Yum-Tong
1981
Deformations of coherent analytic sheaves with compact supports. Zbl 0526.32021
Siu, Yum-Tong; Trautmann, Günther
1981
A simple proof of the surjectivity of the period map of K3 surfaces. Zbl 0497.32019
Siu, Yum-Tong
1981
Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature. Zbl 0491.53041
Siu, Yum-Tong; Yang, Paul
1981
The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds. Zbl 0517.53058
Siu, Yum-Tong
1980
Compact Kähler manifolds of positive bisectional curvature. Zbl 0442.53056
Siu, Yum-Tong; Yau, Shing-Tung
1980
A compact Kähler surface of negative curvature not covered by the ball. Zbl 0453.53047
Mostow, G. D.; Siu, Yum-Tong
1980
Curvature characterization of hyperquadrics. Zbl 0468.53054
Siu, Yum-Tong
1980
Extension problems in several complex variables. Zbl 0428.32009
Siu, Yum-Tong
1980
Some remarks on the complex-analyticity of harmonic maps. Zbl 0439.53051
Siu, Yum-Tong
1979
Complex-analyticity of harmonic maps and strong rigidity of compact Kähler manifolds. Zbl 0424.53038
Siu, Yum-Tong
1979
Pseudoconvexity and the problem of Levi. Zbl 0423.32008
Siu, Yum-Tong
1978
Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay. Zbl 0358.32006
Siu, Yum-Tong; Yau, Shing-Tung
1977
Holomorphic convexity of spaces of analytic cycles. Zbl 0382.32010
Norguet, François; Siu, Yum-Tong
1977
Every Stein subvariety admits a Stein neighborhood. Zbl 0343.32014
Siu, Yum-Tong
1976
Holomorphic fiber bundles whose fibers are bounded Stein domains with zero first Betti number. Zbl 0318.32010
Siu, Yum-Tong
1976
On the structure of complete simply-connected Kähler manifolds with nonpositive curvature. Zbl 0328.53052
Siu, Yum-Tong; Yau, Shing-Tung
1976
Extension of meromorphic maps into Kähler manifolds. Zbl 0318.32007
Siu, Yum-Tong
1975
Analyticity of sets associated to Lelong numbers and the extension of closed positive currents. Zbl 0289.32003
Siu, Yum-Tong
1974
Techniques of extension of analytic objects. Zbl 0294.32007
Siu, Yum-Tong
1974
C$$^k$$ approximation by holomorphic functions and $$\bar \partial$$-closed forms on C$$^k$$ submanifolds of a complex manifold. Zbl 0275.32008
Range, R. Michael; Siu, Yum-Tong
1974
All plane domains are Banach-Stein. Zbl 0294.32010
Siu, Yum-Tong
1974
Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps. Zbl 0282.32006
Siu, Yum-Tong
1974
The $$\bar \partial$$ problem with uniform bounds on derivatives. Zbl 0256.35061
Siu, Yum-Tong
1974
A Thullen type extension theorem for positive holomorphic vector bundles. Zbl 0301.32027
Siu, Yum-Tong
1974
Characterization of privileged polydomains. Zbl 0291.32017
Siu, Yum-Tong
1974
Uniform estimates for the $$\bar\partial$$-equation on domains with piecewise smooth strictly pseudoconvex boundaries. Zbl 0248.32015
Range, R. Michael; Siu, Yum-Tong
1973
A Thullen type extension theorem for positive holomorphic vector bundles. Zbl 0253.32016
Siu, Yum-Tong
1972
A pseudoconvex-pseudoconcave generalization of Grauert’s direct image theorem. Zbl 0248.32014
Siu, Yum-Tong
1972
Uniform estimates for the $$\partial$$-equation on intersections of strictly pseudo-convex domains. Zbl 0254.32020
Range, R. Michael; Siu, Yum-Tong
1972
Gap-sheaves and extension of coherent analytic subsheaves. Zbl 0208.10403
Siu, Yum-Tong; Trautmann, Günther
1971
A Hartogs type extension theorem for coherent analytic sheaves. Zbl 0208.10404
Siu, Y. T.
1971
The 1-convex generalization of Grauert’s direct image theorem. Zbl 0197.36101
Siu, Y.-T.
1971
Dimensions of sheaf cohomology groups under holomorphic deformation. Zbl 0213.09803
Siu, Y.-T.
1971
Generalizations of Grauert’s direct image theorem. Zbl 0213.09802
Siu, Y.-T.
1971
A Thullen type theorem on coherent analytic sheaf extension. Zbl 0221.32006
Siu, Yum-Tong
1971
Projective embedding of pseudoconcave spaces. Zbl 0195.36901
Andreotti, Aldo; Siu, Yum-Tong
1970
Analytic sheaves of local cohomology. Zbl 0195.36802
Siu, Yum-Tong
1970
A pseudoconcave generalization of Grauert’s direct image theorem. I. Zbl 0195.36803
Siu, Yum-Tong
1970
A pseudoconcave generalization of Grauert’s direct image theorem. II. Zbl 0206.09104
Siu, Y.-T.
1970
Holomorphic functions of polynomial growth on bounded domains. Zbl 0195.36801
Siu, Yum-Tong
1970
Extension of coherent analytic subsheaves. Zbl 0188.39204
Siu, Yum-Tong; Trautmann, Günther
1970
Analytic sheaf cohomology groups of dimension n of $$n$$-dimensional complex spaces. Zbl 0186.40404
Siu, Y.-T.
1969
Extending coherent analytic sheaves. Zbl 0181.36301
Siu, Y.-T.
1969
Noetherianness of rings of holomorphic functions on Stein compact subsets. Zbl 0175.37402
Siu, Yum-Tong
1969
Noether-Lasker decomposition of coherent analytic subsheaves. Zbl 0175.37403
Siu, Yum-Tong
1969
Absolute gap-sheaves and extensions of coherent analytic sheyves. Zbl 0184.11001
Siu, Y. T.
1969
Analytic sheaf cohomology groups of dimension n of $$n$$-dimensional noncompact complex manifolds. Zbl 0182.41504
Siu, Y.-T.
1969
Extension of locally free analytic sheaves. Zbl 0157.13301
Siu, Y. T.
1969
...and 11 more Documents
all top 5

#### Cited by 1,121 Authors

 33 Siu, Yum-Tong 21 Zhou, Xiangyu 18 Ohsawa, Takeo 17 Guan, Qi’an 16 Sibony, Nessim 14 Demailly, Jean-Pierre 14 Mok, Ngaiming 13 Yau, Shing-Tung 13 Zhang, Xi 12 Forstnerič, Franc 12 Vâjâitu, Viorel 11 Colţoiu, Mihnea 11 Peternell, Thomas Martin 10 Yeung, Sai-Kee 9 Paun, Mihai 9 Scárdua, Bruno C. Azevedo 9 Shaw, Mei-Chi 9 Tien Cuong Dinh 9 Tosatti, Valentino 9 Verbitsky, Misha 9 Yang, Xiao-Kui 8 Fornæss, John Erik 8 Guedj, Vincent 8 Hacon, Christopher Derek 8 Jost, Jürgen 8 Marinescu, George 8 McNeal, Jeffery D. 8 Ni, Lei 8 Rousseau, Erwan 8 Shiffman, Bernard 8 Song, Jian 8 Takayama, Shigeharu 8 Trapani, Stefano 8 Tsuji, Hajime 8 Zaidenberg, Mikhail G. 8 Zeriahi, Ahmed 7 Andersson, Mats 7 Berndtsson, Bo 7 Biswas, Indranil 7 Cegrell, Urban 7 Chen, Bo-Yong 7 Li, Jiayu 7 Schumacher, Georg 7 Sommese, Andrew John 7 Tian, Gang 7 Trautmann, Günther 7 Weinkove, Ben 7 Wold, Erlend Fornæss 6 Alessandrini, Lucia 6 Bassanelli, Giovanni 6 Catanese, Fabrizio M. E. 6 Chen, Xiuxiong 6 Ghiloufi, Noureddine 6 He, Weiyong 6 Ji, Qingchun 6 LeBrun, Claude R. 6 Lee, Seunghun 6 Napier, Terrence 6 Rubinstein, Yanir A. 6 Ruppenthal, Jean 6 Takegoshi, Kensho 6 Varolin, Dror 6 Wulcan, Elizabeth 6 Yau, Stephen Shing-Toung 5 Arezzo, Claudio 5 Campana, Frédéric 5 Cao, Huai-Dong 5 Cardona, Sergio Andres Holguin 5 Chen, Binglong 5 Coman, Dan 5 Diederich, Klas 5 Fu, Siqi 5 Harris, Adam 5 Ivashkovich, Sergej Mikhailovich 5 Krantz, Steven George 5 Liu, Kefeng 5 Merker, Joël 5 Nikulin, Vyacheslav Valentinovich 5 Ramachandran, Mohan 5 Seshadri, Harish 5 To, Wing-Keung 5 Tomassini, Giuseppe 5 Wang, Zhiwei 5 Wu, Hung-Hsi 5 Xiao, Jian 5 Zhu, Langfeng 4 Ballico, Edoardo 4 Bedford, Eric 4 Ben Abdesselem, Adnène 4 Berman, Robert J. 4 Bingener, Jürgen 4 Błocki, Zbigniew 4 Brinkschulte, Judith 4 Brotbek, Damian 4 Brunella, Marco 4 Cascini, Paolo 4 Drezet, Jean-Marc 4 Flenner, Hubert 4 Fujiki, Akira 4 Harvey, Reese ...and 1,021 more Authors
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#### Cited in 165 Serials

 130 Mathematische Annalen 78 Annales de l’Institut Fourier 72 Mathematische Zeitschrift 69 Inventiones Mathematicae 58 The Journal of Geometric Analysis 54 Transactions of the American Mathematical Society 48 Duke Mathematical Journal 41 Advances in Mathematics 34 Proceedings of the American Mathematical Society 32 International Journal of Mathematics 29 Publications of the Research Institute for Mathematical Sciences, Kyoto University 23 Journal für die Reine und Angewandte Mathematik 19 Compositio Mathematica 19 Manuscripta Mathematica 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Acta Mathematica 17 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 16 Journal of Functional Analysis 16 Nagoya Mathematical Journal 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Science China. Mathematics 15 Tohoku Mathematical Journal. Second Series 15 Journal of the American Mathematical Society 14 Arkiv för Matematik 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Bulletin de la Société Mathématique de France 13 Michigan Mathematical Journal 13 Science in China. Series A 13 Differential Geometry and its Applications 13 Geometric and Functional Analysis. GAFA 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Complex Variables and Elliptic Equations 12 Bulletin of the American Mathematical Society 11 Geometriae Dedicata 11 Publications Mathématiques 11 Annals of Global Analysis and Geometry 11 Journal of Algebraic Geometry 11 Calculus of Variations and Partial Differential Equations 10 Archiv der Mathematik 9 Journal of Mathematical Analysis and Applications 8 Communications in Mathematical Physics 8 Journal of Geometry and Physics 8 Mathematische Nachrichten 8 Annals of Mathematics. Second Series 8 Acta Mathematica Sinica. English Series 8 Proceedings of the Steklov Institute of Mathematics 7 Mathematical Proceedings of the Cambridge Philosophical Society 6 Communications in Algebra 6 Mathematical Notes 6 Osaka Journal of Mathematics 6 Proceedings of the Japan Academy. Series A 6 Chinese Annals of Mathematics. Series B 6 Bulletin of the American Mathematical Society. New Series 6 Bulletin des Sciences Mathématiques 6 Geometry & Topology 6 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 5 Israel Journal of Mathematics 4 Acta Mathematica Vietnamica 4 Journal of Algebra 4 Journal of Soviet Mathematics 4 Pacific Journal of Mathematics 4 Rendiconti del Seminario Matematico della Università di Padova 4 Expositiones Mathematicae 4 Communications in Contemporary Mathematics 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Japanese Journal of Mathematics. 3rd Series 4 Kyoto Journal of Mathematics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of the London Mathematical Society. Second Series 3 Journal of Pure and Applied Algebra 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Indagationes Mathematicae. New Series 3 Izvestiya: Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 3 Bulletin of Mathematical Sciences 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Annales Polonici Mathematici 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 Integral Equations and Operator Theory 2 Kodai Mathematical Journal 2 Monatshefte für Mathematik 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Results in Mathematics 2 Forum Mathematicum 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Applied Mathematics. Series B (English Edition) 2 Documenta Mathematica 2 Journal of High Energy Physics 2 Advances in Geometry 2 Journal of the Australian Mathematical Society 2 Milan Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Forum of Mathematics, Sigma 2 Journal de l’École Polytechnique – Mathématiques ...and 65 more Serials
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#### Cited in 40 Fields

 989 Several complex variables and analytic spaces (32-XX) 427 Differential geometry (53-XX) 367 Algebraic geometry (14-XX) 159 Global analysis, analysis on manifolds (58-XX) 59 Partial differential equations (35-XX) 53 Manifolds and cell complexes (57-XX) 42 Functions of a complex variable (30-XX) 36 Dynamical systems and ergodic theory (37-XX) 25 Topological groups, Lie groups (22-XX) 22 Commutative algebra (13-XX) 21 Potential theory (31-XX) 19 Number theory (11-XX) 18 Group theory and generalizations (20-XX) 16 Functional analysis (46-XX) 16 Quantum theory (81-XX) 13 Algebraic topology (55-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 6 Category theory; homological algebra (18-XX) 5 Nonassociative rings and algebras (17-XX) 5 Measure and integration (28-XX) 5 Operator theory (47-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 3 Relativity and gravitational theory (83-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

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