Time: 10:00-11:30 October 15, 2024 (Tuesday)
Venue: MCM110
Title: Quotients of Jacobians
Abstract: 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.
