中国科学院数学与系统科学研究院

数学研究所

杰出访问研究员综合报告会

报告人： Prof. Arnaud Beauville (Université Côte d'Azur)

题目：Quotients of Jacobians

时间：2024.10.15（周二）10：00-11：30

地点：MCM110

摘要：Let C be a curve of genus g , and J its Jacobian; let G be a finite group acting on C, hence also on J. A result of Kollár-Larsen implies that the quotient  J/G  either has Kodaira dimension zero, or is uniruled. I will show that the latter case can occur only for  g<5 , and give examples in this range. The question is motivated by a classical problem about the algebraic cycle [C]-[(-1)*C] on J.