Fibrations associated to smooth quotients of abelian varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866911936809009152 |
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| author | Martinez-Nunez, Gary |
| author_facet | Martinez-Nunez, Gary |
| contents | Let $A$ be an abelian variety and $G$ a finite group of automorphisms of $A$ fixing the origin such that $A/G$ is smooth. The quotient $A/G$ can be seen as a fibration over an abelian variety whose fibers are isomorphic to a product of projective spaces. We classify how the fibers are glued in the case when the fibers are isomorphic to a projective space and we prove that, in general, the quotient $A/G$ is a fibered product of such fibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_02620 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Fibrations associated to smooth quotients of abelian varieties Martinez-Nunez, Gary Algebraic Geometry 14L30, 14K99 Let $A$ be an abelian variety and $G$ a finite group of automorphisms of $A$ fixing the origin such that $A/G$ is smooth. The quotient $A/G$ can be seen as a fibration over an abelian variety whose fibers are isomorphic to a product of projective spaces. We classify how the fibers are glued in the case when the fibers are isomorphic to a projective space and we prove that, in general, the quotient $A/G$ is a fibered product of such fibrations. |
| title | Fibrations associated to smooth quotients of abelian varieties |
| topic | Algebraic Geometry 14L30, 14K99 |
| url | https://arxiv.org/abs/2104.02620 |