Essential dimension of isogenies
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913741339099136 |
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| author | Kollár, János Zhuang, Ziquan |
| author_facet | Kollár, János Zhuang, Ziquan |
| contents | We give a lower bound for the essential dimension of isogenies of complex abelian varieties. The bound is sharp in many cases. In particular, the multiplication-by-$m$ map is incompressible for every $m\geq 2$, confirming a conjecture of Brosnan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Essential dimension of isogenies Kollár, János Zhuang, Ziquan Algebraic Geometry We give a lower bound for the essential dimension of isogenies of complex abelian varieties. The bound is sharp in many cases. In particular, the multiplication-by-$m$ map is incompressible for every $m\geq 2$, confirming a conjecture of Brosnan. |
| title | Essential dimension of isogenies |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2402.15362 |