Edit Profile (opens in new tab) Sun, Xiaotao Co-Author Distance Author ID: sun.xiaotao Published as: Sun, Xiaotao; Sun, XiaoTao Homepage: http://www.math.ac.cn/index_E/Personal_Web/Sunxiaotao_E.htm External Links: MGP Documents Indexed: 43 Publications since 1990, including 7 Additional arXiv Preprints Reviewing Activity: 34 Reviews Co-Authors: 12 Co-Authors with 21 Joint Publications 218 Co-Co-Authors all top 5 Co-Authors 22 single-authored 8 Zhou, Mingshuo 3 Esnault, Hélène 3 Gu, Yi 2 Hübl, Reinhold 2 Mok, Ngaiming 2 Tan, Sheng-Li 2 Tsai, I-Hsun 2 Zuo, Kang 1 Hu, Wenyao 1 Liu, Min 1 Phùng Hô‘ Hài 1 Sun, Hao all top 5 Serials 2 Communications in Algebra 2 Acta Mathematica Sinica 2 Compositio Mathematica 2 Journal of Algebra 2 Journal of Differential Geometry 2 Mathematische Annalen 2 The Asian Journal of Mathematics 2 Science China. Mathematics 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Science in China. Series A 1 Journal of Algebraic Geometry 1 Algebra Colloquium 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Pure and Applied Mathematics Quarterly 1 Scientia Sinica. Mathematica all top 5 Fields 39 Algebraic geometry (14-XX) 4 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 172 times in 136 Documents Cited by ▼ Year ▼ Degeneration of moduli spaces and generalized theta functions. Zbl 0971.14030 Sun, Xiaotao 30 2000 On Nori’s fundamental group scheme. Zbl 1137.14035 Esnault, Hélène; Hai, Phùng Hô; Sun, Xiaotao 24 2008 Direct images of bundles under Frobenius morphism. Zbl 1195.14060 Sun, Xiaotao 23 2008 Moduli spaces of SL\((r)\)-bundles on singular irreducible curves. Zbl 1055.14039 Sun, Xiaotao 15 2003 Remarks on semistability of \(G\)-bundles in positive characteristic. Zbl 0951.14031 Sun, Xiaotao 13 1999 Minimal rational curves on moduli spaces of stable bundles. Zbl 1115.14027 Sun, Xiaotao 11 2005 Frobenius morphism and semi-stable bundles. Zbl 1214.14036 Sun, Xiaotao 7 2010 Remarks on lines and minimal rational curves. Zbl 1194.14052 Mok, Ngaiming; Sun, XiaoTao 5 2009 Degeneration of SL\((n)\)-bundles on a reducible curve. Zbl 1080.14529 Sun, Xiaotao 4 2002 Vector bundles on the projective line over a discrete valuation ring and the cohomology of canonical sheaves. Zbl 0944.14005 Hübl, Reinhold; Sun, Xiaotao 4 1999 Stability of sheaves of locally closed and exact forms. Zbl 1255.14035 Sun, Xiaotao 4 2010 On canonical fibrations of algebraic surfaces. Zbl 0827.14026 Sun, Xiaotao 4 1994 Factorization of generalized theta functions revisited. Zbl 1366.14033 Sun, Xiaotao 4 2017 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 3 2003 Hitchin’s connection and differential operators with values in the determinant bundle. Zbl 1080.14530 Sun, Xiaotao; Tsai, I-Hsun 3 2004 Remarks on Xiao’s approach of slope inequalities. Zbl 1401.14167 Sun, Hao; Sun, Xiaotao; Zhou, Mingshuo 3 2018 Globally F-regular type of moduli spaces. Zbl 1468.14068 Sun, Xiaotao; Zhou, Mingshuo 2 2020 Stratified bundles and étale fundamental group. Zbl 1326.14053 Esnault, Hélène; Sun, Xiaotao 2 2014 Remarks on Gieseker’s degeneration and its normalization. Zbl 1177.14075 Sun, Xiaotao 2 2008 A finite dimensional proof of the Verlinde formula. Zbl 1469.14074 Sun, Xiaotao; Zhou, Mingshuo 1 2020 Elliptic curves in moduli space of stable bundles. Zbl 1316.14063 Sun, Xiaotao 1 2011 Birational morphisms of regular schemes. Zbl 0816.14007 Sun, Xiaotao 1 1994 On relative canonical sheaves of arithmetic surfaces. Zbl 0916.14010 Sun, Xiaotao 1 1996 Slope inequalities and a Miyaoka-Yau type inequality. Zbl 1525.14046 Gu, Yi; Sun, Xiaotao; Zhou, Mingshuo 1 2023 Surfaces of general type with canonical pencil. Zbl 0761.14013 Sun, Xiaotao 1 1990 Erratum to: “Remarks on lines and minimal rational curves”. Zbl 1301.14021 Mok, Ngaiming; Sun, Xiaotao 1 2014 Surfaces on the Severi line in positive characteristic. Zbl 1494.14035 Gu, Yi; Sun, Xiaotao; Zhou, Mingshuo 1 2022 On the cohomology of regular differential forms and dualizing sheaves. Zbl 0903.14004 Hübl, Reinhold; Sun, Xiaotao 1 1998 Slope inequalities and a Miyaoka-Yau type inequality. Zbl 1525.14046 Gu, Yi; Sun, Xiaotao; Zhou, Mingshuo 1 2023 Surfaces on the Severi line in positive characteristic. Zbl 1494.14035 Gu, Yi; Sun, Xiaotao; Zhou, Mingshuo 1 2022 Globally F-regular type of moduli spaces. Zbl 1468.14068 Sun, Xiaotao; Zhou, Mingshuo 2 2020 A finite dimensional proof of the Verlinde formula. Zbl 1469.14074 Sun, Xiaotao; Zhou, Mingshuo 1 2020 Remarks on Xiao’s approach of slope inequalities. Zbl 1401.14167 Sun, Hao; Sun, Xiaotao; Zhou, Mingshuo 3 2018 Factorization of generalized theta functions revisited. Zbl 1366.14033 Sun, Xiaotao 4 2017 Stratified bundles and étale fundamental group. Zbl 1326.14053 Esnault, Hélène; Sun, Xiaotao 2 2014 Erratum to: “Remarks on lines and minimal rational curves”. Zbl 1301.14021 Mok, Ngaiming; Sun, Xiaotao 1 2014 Elliptic curves in moduli space of stable bundles. Zbl 1316.14063 Sun, Xiaotao 1 2011 Frobenius morphism and semi-stable bundles. Zbl 1214.14036 Sun, Xiaotao 7 2010 Stability of sheaves of locally closed and exact forms. Zbl 1255.14035 Sun, Xiaotao 4 2010 Remarks on lines and minimal rational curves. Zbl 1194.14052 Mok, Ngaiming; Sun, XiaoTao 5 2009 On Nori’s fundamental group scheme. Zbl 1137.14035 Esnault, Hélène; Hai, Phùng Hô; Sun, Xiaotao 24 2008 Direct images of bundles under Frobenius morphism. Zbl 1195.14060 Sun, Xiaotao 23 2008 Remarks on Gieseker’s degeneration and its normalization. Zbl 1177.14075 Sun, Xiaotao 2 2008 Minimal rational curves on moduli spaces of stable bundles. Zbl 1115.14027 Sun, Xiaotao 11 2005 Hitchin’s connection and differential operators with values in the determinant bundle. Zbl 1080.14530 Sun, Xiaotao; Tsai, I-Hsun 3 2004 Moduli spaces of SL\((r)\)-bundles on singular irreducible curves. Zbl 1055.14039 Sun, Xiaotao 15 2003 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 3 2003 Degeneration of SL\((n)\)-bundles on a reducible curve. Zbl 1080.14529 Sun, Xiaotao 4 2002 Degeneration of moduli spaces and generalized theta functions. Zbl 0971.14030 Sun, Xiaotao 30 2000 Remarks on semistability of \(G\)-bundles in positive characteristic. Zbl 0951.14031 Sun, Xiaotao 13 1999 Vector bundles on the projective line over a discrete valuation ring and the cohomology of canonical sheaves. Zbl 0944.14005 Hübl, Reinhold; Sun, Xiaotao 4 1999 On the cohomology of regular differential forms and dualizing sheaves. Zbl 0903.14004 Hübl, Reinhold; Sun, Xiaotao 1 1998 On relative canonical sheaves of arithmetic surfaces. Zbl 0916.14010 Sun, Xiaotao 1 1996 On canonical fibrations of algebraic surfaces. Zbl 0827.14026 Sun, Xiaotao 4 1994 Birational morphisms of regular schemes. Zbl 0816.14007 Sun, Xiaotao 1 1994 Surfaces of general type with canonical pencil. Zbl 0761.14013 Sun, Xiaotao 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 132 Authors 13 Biswas, Indranil 10 Bhosle, Usha N. 10 Sun, Xiaotao 8 Zhou, Mingshuo 7 Li, Lingguang 5 Kaur, Inder 4 Dan, Ananyo 4 Phùng Hô‘ Hài 4 Pinto dos Santos, João Pedro 4 Zuo, Kang 3 Abe, Takeshi 3 Basu, Suratno 3 Brenner, Holger 3 Di Proietto, Valentina 3 Liu, Congjun 3 Pauly, Christian 3 Schmitt, Alexander H. W. 2 Arusha, C. 2 Ballico, Edoardo 2 Belkale, Prakash 2 Bolognesi, Michele 2 Choe, Insong 2 Das, Sourav 2 Frăţilă, Dragoş 2 Gibney, Angela 2 Gu, Yi 2 Hara, Nobuo 2 Kausz, Ivan 2 Liu, Min 2 Meier, Lennart 2 Mok, Ngaiming 2 Mukhopadhyay, Swarnava 2 Muñoz Castañeda, Ángel Luis 2 Pál, Ambrus 2 Sheng, Mao 2 Shiho, Atsushi 2 Singh, Sanjay Kumar 2 Tonini, Fabio 2 Trivedi, Vijaylaxmi 2 Wakabayashi, Yasuhiro 2 Wentworth, Richard A. 2 Zhang, Jiajin 2 Zhang, Lei 2 Zhao, Yifei 1 Antei, Marco 1 Baier, Thomas 1 Balaji, Vikraman 1 Benedetti, Vladimiro 1 Brambila-Paz, Gloria Leticia 1 Cai, Jin-Xing 1 Chen, Xi 1 Chiarellotto, Bruno 1 Chung, Kiryong 1 Coiai, Fabrizio 1 D’Addezio, Marco 1 Dan, Krishanu 1 Deninger, Christopher 1 Drezet, Jean-Marc 1 Dumitrescu, Sorin 1 Emsalem, Michel 1 Esnault, Hélène 1 Faenzi, Daniele 1 Farkas, Gavril 1 Filip, Simion 1 Gao, Zhao 1 Garuti, Marco A. 1 Ghiasabadi, Archia 1 Gómez, Tomás L. 1 Gunningham, Sam 1 Heller, Sebastian Gregor 1 Hitching, George H. 1 Hoffmann, Norbert Peter 1 Hogadi, Amit 1 Holla, Yogish I. 1 Hong, Jaehyun 1 Hoshi, Yuichiro 1 Hübl, Reinhold 1 Ichikawa, Takashi 1 Jensen, David 1 Joshi, Kirti 1 Kaid, Almar 1 Kazanova, Anna 1 Kedlaya, Kiran Sridhara 1 Kiem, Young-Hoon 1 Kühn, Ulf 1 Kweon, Hyuk Jun 1 Lazda, Christopher 1 Lee, Kyoung-Seog 1 Lee, SangHyeon 1 Li, Penghui 1 Lu, Jun 1 Lu, Xin 1 Manivel, Laurent 1 Martens, Johan 1 Mata-Gutiérrez, Osbaldo 1 Mehta, Vikram Bhagvandas 1 Misra, Snehajit 1 Moon, Han-Bom 1 Müller, Jan Steffen 1 Nagamachi, Ippei ...and 32 more Authors all top 5 Cited in 60 Serials 8 Advances in Mathematics 8 Transactions of the American Mathematical Society 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Algebra 5 Manuscripta Mathematica 5 Mathematische Zeitschrift 4 Communications in Algebra 4 Compositio Mathematica 4 Journal für die Reine und Angewandte Mathematik 4 International Journal of Mathematics 4 Bulletin des Sciences Mathématiques 4 Science China. Mathematics 4 Forum of Mathematics, Sigma 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Documenta Mathematica 3 Journal of the European Mathematical Society (JEMS) 2 Indian Journal of Pure & Applied Mathematics 2 Beiträge zur Algebra und Geometrie 2 Mathematische Nachrichten 2 Journal of Algebraic Geometry 2 Selecta Mathematica. New Series 2 Acta Mathematica Sinica. English Series 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Hiroshima Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Revista Matemática Iberoamericana 1 Science in China. Series A 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Representation Theory 1 Optimization Methods & Software 1 Geometry & Topology 1 Revista Matemática Complutense 1 Advances in Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Kyoto Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Peking Mathematical Journal all top 5 Cited in 14 Fields 134 Algebraic geometry (14-XX) 17 Commutative algebra (13-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Number theory (11-XX) 5 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year