Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918405145100288 |
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| author | Li, Ruoxi |
| author_facet | Li, Ruoxi |
| contents | We study the notion of $1$-twisted semi-homogeneous vector bundles on $\mathbb{G}_m$-gerbes over abelian varieties, and classify point objects in the twisted derived categories of abelian varieties. As an application, we classify the twisted Fourier-Mukai partners of abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties Li, Ruoxi Algebraic Geometry We study the notion of $1$-twisted semi-homogeneous vector bundles on $\mathbb{G}_m$-gerbes over abelian varieties, and classify point objects in the twisted derived categories of abelian varieties. As an application, we classify the twisted Fourier-Mukai partners of abelian varieties. |
| title | Point Objects and Derived Equivalences of Twisted Derived Categories of Abelian Varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.19282 |