# Moduli spaces of abstract and embedded Kummer varieties

@article{Galeotti2018ModuliSO,
title={Moduli spaces of abstract and embedded Kummer varieties},
author={Mattia Galeotti and Sara Perna},
journal={arXiv: Algebraic Geometry},
year={2018}
}
• Published 1 June 2018
• Mathematics
• arXiv: Algebraic Geometry
In this paper, we investigate the construction of two moduli stacks of Kummer varieties. The first one is the stack $\mathcal K^{\text{abs}}_g$ of abstract Kummer varieties and the second one is the stack $\mathcal K^{\text{em}}_g$ of embedded Kummer varieties. We will prove that $\mathcal K^{\text{abs}}_g$ is a Deligne-Mumford stack and its coarse moduli space is isomorphic to $\boldsymbol A_g$, the coarse moduli space of principally polarized abelian varieties of dimension $g$. On the other…
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