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## Tan, Sheng-Li

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 Author ID: tan.sheng-li Published as: Tan, Sheng-Li; Tan, Shengli; Tan, ShengLi; Tan, S.; Tan, Sheng Li; Tan, S.-L. External Links: MGP
 Documents Indexed: 46 Publications since 1991, including 2 Books
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#### Co-Authors

 15 single-authored 6 Lu, Jun 6 Zuo, Kang 5 Lu, Xin 4 Xu, Wan-Yuan 4 Yau, Stephen Shing-Toung 3 Chen, Zhijie J. 3 Gong, Cheng 2 Amram, Meirav 2 Liu, Xiaolei 2 Yu, Fei 2 Zhang, De-Qi 1 Berhanu, Shiferaw 1 Chen, Hua 1 Chen, Ke 1 Du, Rong 1 Gao, Yun 1 Hong, Jie 1 Hounie, Jorge G. 1 Hu, Fei 1 Huang, Xiaojun 1 Liu, Kecheng 1 Sun, Xiaotao 1 Teicher, Mina 1 Tu, Yuping 1 Viehweg, Eckart 1 Wang, Jianpan 1 Xie, DaJun 1 Ye, Fei 1 Yoshpe, Michael 1 Zamora, Alexis G. 1 Zuo, Huaiqing
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#### Serials

 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 The Asian Journal of Mathematics 3 Science China. Mathematics 2 Journal of Algebraic Geometry 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Algebra 1 International Journal of Control 1 International Journal of General Systems 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Science in China. Series A 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Acta Mathematica Sinica. English Series 1 Pure and Applied Mathematics Quarterly 1 Contemporary Mathematics 1 AMS/IP Studies in Advanced Mathematics
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#### Fields

 42 Algebraic geometry (14-XX) 12 Several complex variables and analytic spaces (32-XX) 5 Commutative algebra (13-XX) 4 Number theory (11-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Convex and discrete geometry (52-XX) 2 Systems theory; control (93-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 165 times in 91 Documents Cited by Year
The minimal number of singular fibers of a semistable curve over $$\mathbb{P}^ 1$$. Zbl 0864.14003
Tan, Sheng-Li
1995
On complex surfaces with 5 or 6 semistable singular fibers over 1. Zbl 1074.14009
Tan, Sheng-Li; Tu, Yuping; Zamora, Alexis G.
2005
On the invariants of base changes of pencils of curves. II. Zbl 0864.14016
Tan, Sheng-Li
1996
On the invariants of base changes of pencils of curves. I. Zbl 0835.14012
Tan, Sheng-Li
1994
Surfaces whose canonical maps are of odd degrees. Zbl 0724.14026
Tan, Shengli
1992
A new inequality on the Hodge number of algebraic surfaces. Zbl 1299.14005
Lu, Jun; Tan, Sheng-Li; Yu, Fei; Zuo, Kang
2014
Triple covers on smooth algebraic varieties. Zbl 1018.14003
Tan, Sheng-Li
2002
Chern numbers of a singular fiber, modular invariants and isotrivial families of curves. Zbl 1195.14013
Tan, Sheng-Li
2010
On families of complex curves over $$\mathbb{P}^{1}$$ with two singular fibers. Zbl 1332.14018
Gong, Cheng; Lu, Jun; Tan, Sheng-Li
2016
Cayley-Bacharach property of an algebraic variety and Fujita’s conjecture. Zbl 0953.14033
Tan, Sheng-Li
2000
On the slopes of the moduli spaces of curves. Zbl 0930.14017
Tan, Sheng-Li
1998
Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves. Zbl 1276.14014
Lu, Jun; Tan, Sheng-Li
2013
Łojasiewicz inequality for weighted homogeneous polynomial with isolated singularity. Zbl 1222.32051
Tan, Shengli; Yau, Stephen S.-T.; Zuo, Huaiqing
2010
The determination of integral closures and geometric applications. Zbl 1093.13006
Tan, S.-L.; Zhang, D.-Q.
2004
Families of curves over $$\mathbb P^1$$ with 3 singular fibers. (Familles de courbes sur $$\mathbb P^1$$ avec trois fibres singuliéres.) Zbl 1282.14063
Gong, Cheng; Lu, Xin; Tan, Sheng-Li
2013
On the minimal number of singular fibers with non-compact Jacobians for families of curves over $$\mathbb{P}^1$$. Zbl 1368.14018
Lu, Xin; Tan, Sheng-Li; Xu, Wan-Yuan; Zuo, Kang
2016
A note on the Cayley-Bacharach property for vector bundles. Zbl 1067.14512
Tan, Sheng-Li; Viehweg, Eckart
2000
Galois triple covers of surfaces. Zbl 0753.14008
Tan, Shengli
1991
Families of $$K3$$ surfaces over curves reaching the Arakelov-Yau type upper bounds and modularity. Zbl 1100.14004
Sun, Xiaotao; Tan, Sheng-Li; Zuo, Kang
2003
Effective behavior of multiple linear systems. Zbl 1092.14009
Tan, Sheng-Li
2004
Families of hyperelliptic curves with maximal slopes. Zbl 1291.14044
Liu, XiaoLei; Tan, ShengLi
2013
Cayley-Bacharach property and $$k$$-very ampleness. Zbl 1050.14007
Tan, Sheng-Li
2001
Height inequality of algebraic points on curves over functional fields. Zbl 0814.14028
Tan, Sheng-Li
1995
Upper bounds on the slope of a genus 3 fibration. Zbl 1106.14015
Chen, Zhijie; Tan, Sheng-Li
2006
Integral closure of a cubic extension and applications. Zbl 0972.13010
Tan, Sheng-Li
2001
On Higgs bundles over Shimura varieties of ball quotient type. Zbl 1439.14087
Chen, Ke; Lu, Xin; Tan, Sheng-Li; Zuo, Kang
2018
Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy. Zbl 1408.14129
Hu, Fei; Tan, Sheng-Li; Zhang, De-Qi
2018
On the gonality of an algebraic curve and its abelian automorphism groups. Zbl 1337.14029
Lu, Xin; Tan, Sheng-Li
2015
Cubic equations of rational triple points of dimension two. Zbl 1127.14003
Chen, Zhijie; Du, Rong; Tan, Sheng-Li; Yu, Fei
2007
On Szpiro inequality for semistable families of curves. Zbl 1341.14009
Tan, Sheng-Li; Xu, Wan-Yuan
2015
Canonical class inequality for fibred spaces. Zbl 1401.14054
Lu, Jun; Tan, Sheng-Li; Zuo, Kang
2017
On Higgs bundles over Shimura varieties of ball quotient type. Zbl 1439.14087
Chen, Ke; Lu, Xin; Tan, Sheng-Li; Zuo, Kang
2018
Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy. Zbl 1408.14129
Hu, Fei; Tan, Sheng-Li; Zhang, De-Qi
2018
Canonical class inequality for fibred spaces. Zbl 1401.14054
Lu, Jun; Tan, Sheng-Li; Zuo, Kang
2017
On families of complex curves over $$\mathbb{P}^{1}$$ with two singular fibers. Zbl 1332.14018
Gong, Cheng; Lu, Jun; Tan, Sheng-Li
2016
On the minimal number of singular fibers with non-compact Jacobians for families of curves over $$\mathbb{P}^1$$. Zbl 1368.14018
Lu, Xin; Tan, Sheng-Li; Xu, Wan-Yuan; Zuo, Kang
2016
On the gonality of an algebraic curve and its abelian automorphism groups. Zbl 1337.14029
Lu, Xin; Tan, Sheng-Li
2015
On Szpiro inequality for semistable families of curves. Zbl 1341.14009
Tan, Sheng-Li; Xu, Wan-Yuan
2015
A new inequality on the Hodge number of algebraic surfaces. Zbl 1299.14005
Lu, Jun; Tan, Sheng-Li; Yu, Fei; Zuo, Kang
2014
Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves. Zbl 1276.14014
Lu, Jun; Tan, Sheng-Li
2013
Families of curves over $$\mathbb P^1$$ with 3 singular fibers. (Familles de courbes sur $$\mathbb P^1$$ avec trois fibres singuliéres.) Zbl 1282.14063
Gong, Cheng; Lu, Xin; Tan, Sheng-Li
2013
Families of hyperelliptic curves with maximal slopes. Zbl 1291.14044
Liu, XiaoLei; Tan, ShengLi
2013
Chern numbers of a singular fiber, modular invariants and isotrivial families of curves. Zbl 1195.14013
Tan, Sheng-Li
2010
Łojasiewicz inequality for weighted homogeneous polynomial with isolated singularity. Zbl 1222.32051
Tan, Shengli; Yau, Stephen S.-T.; Zuo, Huaiqing
2010
Cubic equations of rational triple points of dimension two. Zbl 1127.14003
Chen, Zhijie; Du, Rong; Tan, Sheng-Li; Yu, Fei
2007
Upper bounds on the slope of a genus 3 fibration. Zbl 1106.14015
Chen, Zhijie; Tan, Sheng-Li
2006
On complex surfaces with 5 or 6 semistable singular fibers over 1. Zbl 1074.14009
Tan, Sheng-Li; Tu, Yuping; Zamora, Alexis G.
2005
The determination of integral closures and geometric applications. Zbl 1093.13006
Tan, S.-L.; Zhang, D.-Q.
2004
Effective behavior of multiple linear systems. Zbl 1092.14009
Tan, Sheng-Li
2004
Families of $$K3$$ surfaces over curves reaching the Arakelov-Yau type upper bounds and modularity. Zbl 1100.14004
Sun, Xiaotao; Tan, Sheng-Li; Zuo, Kang
2003
Triple covers on smooth algebraic varieties. Zbl 1018.14003
Tan, Sheng-Li
2002
Cayley-Bacharach property and $$k$$-very ampleness. Zbl 1050.14007
Tan, Sheng-Li
2001
Integral closure of a cubic extension and applications. Zbl 0972.13010
Tan, Sheng-Li
2001
Cayley-Bacharach property of an algebraic variety and Fujita’s conjecture. Zbl 0953.14033
Tan, Sheng-Li
2000
A note on the Cayley-Bacharach property for vector bundles. Zbl 1067.14512
Tan, Sheng-Li; Viehweg, Eckart
2000
On the slopes of the moduli spaces of curves. Zbl 0930.14017
Tan, Sheng-Li
1998
On the invariants of base changes of pencils of curves. II. Zbl 0864.14016
Tan, Sheng-Li
1996
The minimal number of singular fibers of a semistable curve over $$\mathbb{P}^ 1$$. Zbl 0864.14003
Tan, Sheng-Li
1995
Height inequality of algebraic points on curves over functional fields. Zbl 0814.14028
Tan, Sheng-Li
1995
On the invariants of base changes of pencils of curves. I. Zbl 0835.14012
Tan, Sheng-Li
1994
Surfaces whose canonical maps are of odd degrees. Zbl 0724.14026
Tan, Shengli
1992
Galois triple covers of surfaces. Zbl 0753.14008
Tan, Shengli
1991
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#### Cited by 88 Authors

 17 Tan, Sheng-Li 10 Zuo, Kang 9 Lu, Xin 6 Lu, Jun 5 Gong, Cheng 4 Gao, Yun 4 Stoppino, Lidia 4 Xu, Wan-Yuan 4 Zamora, Alexis G. 3 Catanese, Fabrizio M. E. 3 Farkas, Gavril 3 Liu, Xiaolei 3 Pirola, Gian Pietro 3 Polizzi, Francesco 3 Rito, Carlos 3 Sun, Hao 2 Bin, Nguyen 2 Castorena, Abel 2 Du, Rong 2 Mendes Lopes, Margarida 2 Tu, Yuping 2 Wang, Renhong 2 Yu, Fei 1 Abderrahmane, Ould M. 1 Akhmedov, Anar 1 Alcántara, Claudia R. 1 Altıntaş Sharland, Ayşe 1 Atarihuana, Yasmina 1 Bastianelli, Francesco 1 Boissière, Samuel 1 Brzostowski, Szymon 1 Castañeda-Salazar, Margarita 1 Causin, Andrea 1 Çevık, G. 1 Charkani, Mohamed Elhassani 1 Chen, Dawei 1 Chen, Ke 1 Chen, Xi 1 Cornalba, Maurizio 1 Corvaja, Pietro 1 Cui, Lihong 1 Deajim, Abdulaziz 1 Faenzi, Daniele 1 Feehan, Paul M. N. 1 Filip, Simion 1 Flamini, Flaminio 1 Heier, Gordon 1 Hidalgo, Rubén Antonio 1 Hong, Jie 1 Hu, Fei 1 Hu, Yong 1 Ishizaka, Mizuho 1 Ivanics, Péter 1 Kitagawa, Shinya 1 Kresch, Andrew 1 Lan, Hui 1 Li, Mu-Lin 1 Liang, Xuezhang 1 Nakashima, Tohru 1 Oleksik, Grzegorz 1 Penegini, Matteo 1 Phạm Tiên So’n 1 Popa, Mihnea 1 Previato, Emma 1 Sakallı, Sümeyra 1 Sarti, Alessandra 1 Shirane, Taketo 1 Stipsicz, András I. 1 Szabo, Szilard 1 Tokunaga, Hiro-o 1 Tomaru, Tadashi 1 Tosun, Meral 1 Tschinkel, Yuri 1 Urzúa, Giancarlo 1 Vallès, Jean 1 Veniani, Davide Cesare 1 Verra, Alessandro 1 Viehweg, Eckart 1 Xie, DaJun 1 Xu, Mang 1 Yasumura, Tadasuke 1 Yeung, Sai-Kee 1 Zannier, Umberto M. 1 Zhang, De-Qi 1 Zhang, Jiajin 1 Zhang, Jielin 1 Zhang, Ming 1 Zhu, Chungang
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#### Cited in 44 Serials

 7 Science China. Mathematics 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 5 Journal of Algebraic Geometry 4 Advances in Mathematics 4 Mathematische Annalen 4 Osaka Journal of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Geometriae Dedicata 3 Transactions of the American Mathematical Society 2 Communications in Algebra 2 Collectanea Mathematica 2 Journal of Algebra 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Journal of Number Theory 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 International Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tohoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Taiwanese Journal of Mathematics 1 Geometry & Topology 1 LMS Journal of Computation and Mathematics 1 Nihonkai Mathematical Journal 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Japanese Journal of Mathematics. 3rd Series 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematics and Statistics
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#### Cited in 19 Fields

 83 Algebraic geometry (14-XX) 14 Several complex variables and analytic spaces (32-XX) 8 Number theory (11-XX) 4 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)