Autoequivalences of Derived Categories of Bielliptic Surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866914434221342720 |
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| author | Tochitani, Yuki |
| author_facet | Tochitani, Yuki |
| contents | We determine the generators of the autoequivalence group of the derived category of coherent sheaves on a bielliptic surface over an algebraically closed field of arbitrary characteristic. As a consequence, we prove that any algebraic variety derived equivalent to such a surface is isomorphic to the surface itself. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29471 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Autoequivalences of Derived Categories of Bielliptic Surfaces Tochitani, Yuki Algebraic Geometry 14F08, 14J27, 18G80 We determine the generators of the autoequivalence group of the derived category of coherent sheaves on a bielliptic surface over an algebraically closed field of arbitrary characteristic. As a consequence, we prove that any algebraic variety derived equivalent to such a surface is isomorphic to the surface itself. |
| title | Autoequivalences of Derived Categories of Bielliptic Surfaces |
| topic | Algebraic Geometry 14F08, 14J27, 18G80 |
| url | https://arxiv.org/abs/2603.29471 |