Quotients of Jacobians
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913623112155136 |
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| author | Beauville, Arnaud |
| author_facet | Beauville, Arnaud |
| contents | Let C be a curve of genus g, and G a finite group of automorphisms of C . We prove that for g > 20 the quotient JC/G has canonical singularities, hence Kodaira dimension 0. On the other hand we give examples of curves C with g < 5 for which JC/G is uniruled. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_00884 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quotients of Jacobians Beauville, Arnaud Algebraic Geometry Let C be a curve of genus g, and G a finite group of automorphisms of C . We prove that for g > 20 the quotient JC/G has canonical singularities, hence Kodaira dimension 0. On the other hand we give examples of curves C with g < 5 for which JC/G is uniruled. |
| title | Quotients of Jacobians |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2207.00884 |