Categorical generic fiber
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912169454469120 |
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| author | Morimura, Hayato |
| author_facet | Morimura, Hayato |
| contents | For flat proper families of algebraic varieties with a smooth fiber, we describe the abelian category of coherent sheaves on the generic fiber as a Serre quotient. As an application, we prove specialization of derived equivalence. As another application, we provide new examples of Fourier--Mukai partners via deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00239 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Categorical generic fiber Morimura, Hayato Algebraic Geometry 14J32 For flat proper families of algebraic varieties with a smooth fiber, we describe the abelian category of coherent sheaves on the generic fiber as a Serre quotient. As an application, we prove specialization of derived equivalence. As another application, we provide new examples of Fourier--Mukai partners via deformations. |
| title | Categorical generic fiber |
| topic | Algebraic Geometry 14J32 |
| url | https://arxiv.org/abs/2111.00239 |