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综合报告:On Coleman's conjecture on finiteness of CM Jacobians of smooth curves

发布时间:2015-07-08

中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

 

综合报告会

Colloquium

 

报告人: 左 康 教授(University of Mainz, Germany)

  目:  On Coleman's conjecture on finiteness of CM Jacobians of smooth curves

 间: 07.17(星期五), 10:45-11:45

 点: 数学院南楼N902室

摘要:

Coleman's conjecture predicts that for $g$ sufficiently large, there exists at most finitely many smooth curves of genus $g$ (up to isomorphism) whose Jacobians are CM abelian varieties. Based on the recent work by Tsimerman on the solution of André-Oort conjecture and my recent Joint works with Xin Lu and with Ke Chen-Xin Lu on Oort conjectue for hyperelliptic curves and superelliptic curves we Show Coleman's conjecture holds true for those two cases.