Jacobians with with automorphisms of prime order

Yuri G. Zarhin

公開日: 2021/9/14

Abstract

In this paper we study principally polarized abelian varieties that admit an automorphism of prime order $p>2$. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves.