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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.16871 |
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| _version_ | 1866918302313349120 |
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| author | Lane, Tyler |
| author_facet | Lane, Tyler |
| contents | We generalize a result of Popa-Schnell and show that the isogeny class of the Picard variety is twisted derived invariant. Using this, we prove that any twisted Fourier-Mukai partner of an abelian variety is an abelian variety. We then provide a necessary and sufficient isogeny-based condition for two abelian varieties to be twisted derived equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16871 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Twisted Derived Equivalences Between Abelian Varieties Lane, Tyler Algebraic Geometry We generalize a result of Popa-Schnell and show that the isogeny class of the Picard variety is twisted derived invariant. Using this, we prove that any twisted Fourier-Mukai partner of an abelian variety is an abelian variety. We then provide a necessary and sufficient isogeny-based condition for two abelian varieties to be twisted derived equivalent. |
| title | Twisted Derived Equivalences Between Abelian Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2601.16871 |