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arXiv · 2109.06794

Jacobians with with automorphisms of prime order

Yuri G. Zarhin
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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.

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Yuri G. Zarhin. 2021-09-14. Jacobians with with automorphisms of prime order. https://arxiv.org/abs/2109.06794

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