Irregular fibrations of derived equivalent varieties
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866913702252380160 |
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| author | Caucci, Federico Lombardi, Luigi |
| author_facet | Caucci, Federico Lombardi, Luigi |
| contents | We study the behavior of irregular fibrations of a variety under derived equivalence of its bounded derived category. In particular we prove the derived invariance of the existence of an irregular fibration over a variety of general type, extending the case of irrational pencils onto curves of genus $g\geq 2$. We also prove that a derived equivalence of such fibrations induces a derived equivalence between their general fibers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_14081 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Irregular fibrations of derived equivalent varieties Caucci, Federico Lombardi, Luigi Algebraic Geometry We study the behavior of irregular fibrations of a variety under derived equivalence of its bounded derived category. In particular we prove the derived invariance of the existence of an irregular fibration over a variety of general type, extending the case of irrational pencils onto curves of genus $g\geq 2$. We also prove that a derived equivalence of such fibrations induces a derived equivalence between their general fibers. |
| title | Irregular fibrations of derived equivalent varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2207.14081 |