Orbifold Semiorthogonal Decompositions for Abelian Varieties
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866910470859915264 |
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| author | Lim, Bronson Rota, Franco |
| author_facet | Lim, Bronson Rota, Franco |
| contents | Suppose $G$ is a finite group acting on an Abelian variety $A$ such that
the coarse moduli space $A/G$ is smooth. Using the recent classification result due to
Auffarth, Lucchini Arteche, and Quezada, we construct an orbifold semiorthogonal decomposition for
$\mathcal{D}[A/G]$ provided $G = T\rtimes H$ with $T$ a subgroup of translations and $H$ is a subgroup of group automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_13639 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Orbifold Semiorthogonal Decompositions for Abelian Varieties Lim, Bronson Rota, Franco Algebraic Geometry 14F08, 14K99 Suppose $G$ is a finite group acting on an Abelian variety $A$ such that the coarse moduli space $A/G$ is smooth. Using the recent classification result due to Auffarth, Lucchini Arteche, and Quezada, we construct an orbifold semiorthogonal decomposition for $\mathcal{D}[A/G]$ provided $G = T\rtimes H$ with $T$ a subgroup of translations and $H$ is a subgroup of group automorphisms. |
| title | Orbifold Semiorthogonal Decompositions for Abelian Varieties |
| topic | Algebraic Geometry 14F08, 14K99 |
| url | https://arxiv.org/abs/2102.13639 |