On blowing up minimal toric surfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929282525167616 |
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| author | Laface, Antonio Ugaglia, Luca |
| author_facet | Laface, Antonio Ugaglia, Luca |
| contents | We prove that the Cox ring of the blowing-up of a minimal toric surface of Picard rank two is finitely generated. As part of our proof of this result we provide a necessary and sufficient condition for finite generation of Cox rings of normal projective $\mathbb Q$-factorial surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On blowing up minimal toric surfaces Laface, Antonio Ugaglia, Luca Algebraic Geometry Primary 14M25, Secondary 14C20 We prove that the Cox ring of the blowing-up of a minimal toric surface of Picard rank two is finitely generated. As part of our proof of this result we provide a necessary and sufficient condition for finite generation of Cox rings of normal projective $\mathbb Q$-factorial surfaces. |
| title | On blowing up minimal toric surfaces |
| topic | Algebraic Geometry Primary 14M25, Secondary 14C20 |
| url | https://arxiv.org/abs/2403.05942 |