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中国科学院数学与系统科学研究院研究员。2000年度国家杰出青年基金获得者。
孙笑涛 研究员
办公室:思源楼603室
电子信箱:xsunATmath.ac.cn
代数几何
2008年中国科学院数学与系统科学研究院突出研究成果奖。
2002年度和2003年度香港RGC基金。
2000年度国家杰出青年基金。国家973项目代数几何组成员。
1992年中国科学院院长奖学金优秀奖(博士)。
1. Surfaces of general type with canonical pencil, Acta Math. Sinica 33,(1990), no. 6, 769-773.
2. A note on factorization of birational morphisms, Acta Math. Sinica 34,(1991), no. 6, 749-753.
3. Algebraic surfaces whose canonical image has a pencil of rational curves of degree two, Math. Z. 209 (1992), no. 1, 67-74.
4. On canonical fibrations of algebraic surfaces , Manuscripta Math. 83(1994 ), no. 2, 161-169.
5. Birational morphisms of regular schemes , Compositio Math. 91(1994), no. 3, 325-339.
6. A regularity theorem on birational morphisms,J. Algebra 178(1995), no. 3, 919-927.
7. On relative canonical sheaves of arithmetic surfaces, Math. Z. 223 (1996), no. 4, 709-723.
8. Ramifications on arithmetic schemes, J. Reine Angew. Math. 488 (1997), 37-54.
9. (with R. Huebl) On the cohomology of regular differential forms and dualizing sheaves, Proc. Amer. Math. Soc. 126 (1998), no. 7, 1931-1940.
10. (with R. Huebl) Vector bundles on the projective line over a discrete valuation ring and the cohomology of canonical sheaves,Comm. Algebra 27 (1999), no. 7, 3513-3529.
11. Remarks on semistability of G-bundles in positive characteristic,Compositio Math. 119 (1999), no. 1, 41-52.
Degeneration of moduli spaces and generalized theta functions,J. Algebraic Geom. 9 (2000), no. 3, 459-527.
12. Degeneration of SL(n)-bundles on a reducible curve.Algebraic geometry in East Asia (Kyoto, 2001), 229-243, World Sci. Publishing, River Edge, NJ, 2002.
13. Factorization of generalized theta functions in the reducible case.Ark. Mat. 41 (2003), no. 1, 165-202.
14. (with S.-L. Tan and K. Zuo) Families of K3 surfaces over curves reaching the Arakelov-Yau type upper bounds and modularity,Math. Res. Lett. 10 (2003), no. 2-3, 323-342.
15. Moduli spaces of SL(r)-bundles on singular irreducible curves.Asian J. Math. 7 (2003), no. 4, 609-625.
16. (with I-Hsun Tsai) Hitchin’s connection and differential operators with values in the determinant bundle.J. Differential Geom. 66 (2004), no. 2, 303-343.
17. Logarithmic heat projective operators, Comm. Algebra 33(2005), no. 2, 425-454.
18. Minimal rational curves on moduli spaces of stable bundles.Math. Ann. 331 (2005), no. 4, 925-937.
19. (with H. Esnault and P. H. Hai) On Nori’s fundamental group scheme.Geometry and dynamics of groups and spaces, 377-398,Progr. Math., 265, Birkh?user, Basel, 2008.
20. Remarks on Gieseker’s degeneration and its normalization.Third International Congress of Chinese Mathematicians. Part 1, 2,177-191, AMS/IP Stud. Adv. Math., 42, pt.1, 2, Amer. Math. Soc., Providence, RI, 2008.
21. Direct images of bundles under Frobenius morphisms.Invent. Math. Vol. 173 (2008), no. 2, 427–447.
22. (with N. Mok) Remarks on lines and miminal rational curves.Science in China Serises A: Mathematics Vol. 52 (2009), no. 6, 1-16.
Frobenius morphisms and semi-stable bundles (2009), 21 pages.
Stability of sheaves of locally closed and exact forms (2009),10 pages.
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