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arXiv · 1901.07049

Smooth quotients of principally polarized abelian varieties

Robert Auffarth·Giancarlo Lucchini Arteche
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Abstract

We give an explicit characterization of all principally polarized abelian varieties $(A,Θ)$ such that there is a finite subgroup of automorphisms $G$ of $A$ that preserve the numerical class of $Θ$, and such that the quotient variety $A/G$ is smooth. We also give a complete classification of smooth quotients of Jacobians of curves.

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Robert Auffarth, Giancarlo Lucchini Arteche. 2021-07-02. Smooth quotients of principally polarized abelian varieties. https://doi.org/10.17323/1609-4514-2022-22-2-225-237

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