Abstract:
We give an explicit characterization of all principally polarized abelian varieties $(A,\Theta)$ such that there is a finite subgroup $G\subseteq\mathrm{Aut}(A,\Theta)$ such that the quotient variety $A/G$ is smooth. We also give a complete classification of smooth quotients of Jacobians of curves.
Key words and phrases:abelian varieties, principal polarizations, Jacobians of curves, smooth quotients, automorphisms.
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