谈胜利

代数几何

Publications

1.     Z. Chen‚ R. Du‚ S.-L . Tan‚ and F. Yu: Cubic equations of rational triple points of dimension two‚ AMS IP STUDIES IN ADVANCED MATHEMATICS‚  VOL 39 (2007)‚  63-76

2.     Z. Chen and S.-L. Tan:  Upper bounds on the slope of a genus 3 fibration‚ Contemp. Math.‚ 400(2006)‚ 65-88

3.      Z. Chen and S.-L. Tan: Trigonal algebraic surfaces and triple covers‚ Lecture Notes RIMS 1490(2006)‚ 47-61

4.     Sheng-Li Tan‚ 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)

5.      Binary forms in algebraic geometry‚ New Studies in Advanced Mathematics. 4 (2004) 187--198     (PDF‚ 000K)

6.      Effective behavior of multiple linear systems‚  Asian Journal of Math.‚ 8 (2004) No.2‚ 287--304      (PS‚ 432K)

7.     Sheng-Li Tan‚ De-Qi Zhang): The determination of integral closures and geometric applications‚  Advances in Math.  185 (2004)‚ 215--245   (PDF‚ 298K)

8.      Xiaotao Sun‚ Sheng-Li Tan and Kang Zuo: Families of K3 surfaces over curves reaching the Arakelov-Yau type bounds and modularity‚  Math. Res. Letters 10 (2003)     (PDF‚ 276K)

9.      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)

10.    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)

11.   Integral closure of a cubic extension and applications‚ Proc. Amer. Math. Soc. 129 (2001) no.9‚ 2553-2562

12.   Cayley-Bacharach property and  k-very ampleness‚ AMS/IP Studies in Advanced Mathematics‚ 20 (2001)‚ 379-388

13.   S.-L. Tan‚ E. Viehweg:  A note on the Cayley-Bacharach property for vector bundles‚ in: Complex Analysis and Complex Geometry‚ de Gruyter‚ 2000‚ 361-373

14.    Cayley-Bacharach property of an algebraic variety and Fujita conjecture‚ J. of Algebraic Geometry 9 (2000) 201-222

15.    On the slopes of the moduli spaces of curves‚ Intern. J. Math.‚ 9 (1998)  no.1‚ 119-127

16.    On the invariants of base changes of pencils of curves‚ II‚ Math. Z. 222 (1996) 655-676

17.    The minimal number of singular fibers of a semistable curve over  P^1‚ J. of Algebraic Geometry  4 (1995) 591-596

18.    Height inequality of algebraic points on curves over function fields‚ J. Reine Angew. Mathematik.  461 (1995) 123-135

19.    On the invariants of base changes of pencils of curves‚ I‚ Manuscripta Math.‚  84 (1994) no. 3/4‚ 225-244

20.    Surfaces whose canonical maps are of odd degrees‚ Math. Ann.‚ 292 (1992) 13-29

21.    Galois triple covers of surfaces‚ Science in China‚ Ser. A.‚ 34 (1991) 935-942