谈胜利 - 华东师范大学 - 数学科学学院

个人简介

Ph.D.: East China Normal University, 1991 M.S.: East China Normal University, 1989 B.S.: Hubei University, 1984

研究领域

Fibered algebraic surfaces with a small genus Moduli space of cuspidal curves on an algebraic surface Cayley-Bacharach property and applications Rank two vector bundles and binary cubic forms over a ring Application of triple covers Linear systems on algebraic surfaces

近期论文

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Preprints (With M. Teicher) On the spaces of cuspidal plane curves, (preprint) (With Zhijie Chen) Upper bound on the slope of a genus 3 fibration (PDF) Cuspidal curves on an algebraic surface and rank two vector bundles, (preliminary preprint ) (With Zhijie Chen) On surfaces whose canonical maps are of degree 3, (in preparation) Publications (With Yuping Tu, Alexis G. Zamora) On surfaces with 5 or 6 semistable singular fibers over P^1, Math. Z. 249 (2005) no.2, 427 - 438 (PDF) Binary forms in algebraic geometry, New Studies in Advanced Mathematics. 4 (2004) 187--198 (PDF, 000K) Effective behavior of multiple linear systems, Asian Journal of Math., 8 (2004) No.2, 287--304 (PS, 432K) (With De-Qi Zhang) The determination of integral closures and geometric applications, Advances in Math. 185 (2004), 215--245 (PDF, 298K) (With Xiaotao Sun and Kang Zuo) Families of K3 surfaces over curves reaching the Arakelov-Yau type bounds and modularity, Math. Res. Letters 10 (2003) (PDF, 276K) Cusps on some algebraic surfaces and plane curves, Complex Analysis, Complex Geometry and Related Topics - Namba 60 (2003) 106--121 (To appear in a formal journal) (PDF, 233K) Triple covers on smooth algebraic varieties, in: Geometry and Nonlinear Partial Differential Equations, AMS/IP Studies in Advanced Mathematics, 20 (2002), 143-164 (PDF, 298K) Integral closure of a cubic extension and applications, Proc. Amer. Math. Soc. 129 (2001) no.9, 2553-2562 Cayley-Bacharach property and k-very ampleness, AMS/IP Studies in Advanced Mathematics, 20 (2001), 379-388 (With E. Viehweg) A note on the Cayley-Bacharach property for vector bundles, in: Complex Analysis and Complex Geometry, de Gruyter, 2000, 361-373 Cayley-Bacharach property of an algebraic variety and Fujita conjecture, J. of Algebraic Geometry 9 (2000) 201-222 On the slopes of the moduli spaces of curves, Intern. J. Math., 9 (1998) no.1, 119-127 On the invariants of base changes of pencils of curves, II, Math. Z. 222 (1996) 655-676 The minimal number of singular fibers of a semistable curve over P^1, J. of Algebraic Geometry 4 (1995) 591-596 Height inequality of algebraic points on curves over function fields, J. Reine Angew. Mathematik. 461 (1995) 123-135 On the invariants of base changes of pencils of curves, I, Manuscripta Math., 84 (1994) no. 3/4, 225-244 Surfaces whose canonical maps are of odd degrees, Math. Ann., 292 (1992) 13-29 Galois triple covers of surfaces, Science in China, Ser. A., 34 (1991) 935-942 A commutativity theorem for rings, Hubei Univ. J., 1 (1986) 13-27 (in Chinese) (Abstract)