English

Smooth quotients of principally polarized abelian varieties

Algebraic Geometry 2022-11-29 v2

Abstract

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

Keywords

Cite

@article{arxiv.1901.07049,
  title  = {Smooth quotients of principally polarized abelian varieties},
  author = {Robert Auffarth and Giancarlo Lucchini Arteche},
  journal= {arXiv preprint arXiv:1901.07049},
  year   = {2022}
}

Comments

FInal version :)