Compact Subvarieties of the Moduli Space of Complex Abelian Varieties
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866915630099202048 |
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| author | Grushevsky, Samuel Mondello, Gabriele Manni, Riccardo Salvati Tsimerman, Jacob |
| author_facet | Grushevsky, Samuel Mondello, Gabriele Manni, Riccardo Salvati Tsimerman, Jacob |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06009 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compact Subvarieties of the Moduli Space of Complex Abelian Varieties Grushevsky, Samuel Mondello, Gabriele Manni, Riccardo Salvati Tsimerman, Jacob Algebraic Geometry Number Theory 14K10 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. |
| title | Compact Subvarieties of the Moduli Space of Complex Abelian Varieties |
| topic | Algebraic Geometry Number Theory 14K10 |
| url | https://arxiv.org/abs/2404.06009 |