On the valuative Nagata conjecture
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916677015306240 |
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| author | Galindo, Carlos Monserrat, Francisco Moreno-Ávila, Carlos-Jesús Moyano-Fernández, Julio José |
| author_facet | Galindo, Carlos Monserrat, Francisco Moreno-Ávila, Carlos-Jesús Moyano-Fernández, Julio José |
| contents | We provide several equivalent conditions for a plane divisorial valuation of a smooth projective surface to be minimal with respect to an ample divisor. These conditions involve a valuative Seshadri constant and other global tools of the surface defined by the divisorial valuation. As a consequence, we derive several equivalent statements for the valuative Nagata conjecture and some related results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_11041 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the valuative Nagata conjecture Galindo, Carlos Monserrat, Francisco Moreno-Ávila, Carlos-Jesús Moyano-Fernández, Julio José Algebraic Geometry 14C20, 14E15, 14C22, 13A18 We provide several equivalent conditions for a plane divisorial valuation of a smooth projective surface to be minimal with respect to an ample divisor. These conditions involve a valuative Seshadri constant and other global tools of the surface defined by the divisorial valuation. As a consequence, we derive several equivalent statements for the valuative Nagata conjecture and some related results. |
| title | On the valuative Nagata conjecture |
| topic | Algebraic Geometry 14C20, 14E15, 14C22, 13A18 |
| url | https://arxiv.org/abs/2208.11041 |