On intrinsic quadrics
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866916830317117440 |
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| author | Fahrner, Anne Hausen, Juergen |
| author_facet | Fahrner, Anne Hausen, Juergen |
| contents | An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita's base point free conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1712_09822 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | On intrinsic quadrics Fahrner, Anne Hausen, Juergen Algebraic Geometry 14J10, 14J45, 14C20 An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita's base point free conjecture. |
| title | On intrinsic quadrics |
| topic | Algebraic Geometry 14J10, 14J45, 14C20 |
| url | https://arxiv.org/abs/1712.09822 |