The class group of a minimal model of a quotient singularity
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909186849243136 |
|---|---|
| author | Schmitt, Johannes |
| author_facet | Schmitt, Johannes |
| contents | Let $V$ be a finite-dimensional vector space over the complex numbers and let $G\leq \operatorname{SL}(V)$ be a finite group. We describe the class group of a minimal model (that is, $\mathbb Q$-factorial terminalization) of the linear quotient $V/G$. We prove that such a class group is completely controlled by the junior elements contained in $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05402 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The class group of a minimal model of a quotient singularity Schmitt, Johannes Algebraic Geometry Let $V$ be a finite-dimensional vector space over the complex numbers and let $G\leq \operatorname{SL}(V)$ be a finite group. We describe the class group of a minimal model (that is, $\mathbb Q$-factorial terminalization) of the linear quotient $V/G$. We prove that such a class group is completely controlled by the junior elements contained in $G$. |
| title | The class group of a minimal model of a quotient singularity |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.05402 |