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arXiv · 2404.06009

Compact Subvarieties of the Moduli Space of Complex Abelian Varieties

Samuel Grushevsky·Gabriele Mondello·Riccardo Salvati Manni·Jacob Tsimerman
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Abstract

We determine the maximal dimension of compact subvarieties of $\mathcal{A}_g$, the moduli space of complex principally polarized abelian varieties of dimension $g$, and the maximal dimension of a compact subvariety through a very general point of $\mathcal{A}_g$. This also allows us to draw some conclusions for compact subvarieties of the moduli space of complex curves of compact type.

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Samuel Grushevsky, Gabriele Mondello, Riccardo Salvati Manni, Jacob Tsimerman. 2024-04-09. Compact Subvarieties of the Moduli Space of Complex Abelian Varieties. https://arxiv.org/abs/2404.06009

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