# 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} }

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…

## One Citation

On the cone of effective surfaces on $\overline{\mathcal A}_3$

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We determine five extremal effective rays of the four-dimensional cone of effective surfaces on the toroidal compactification $\overline{\mathcal A}_3$ of the moduli space ${\mathcal A}_3$ of complex…

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