Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces
[EN] We consider rational surfaces Z defined by divisorial valuations ¿ of Hirzebruch surfaces. We introduce concepts of non-positivity and negativity at infinity for these valuations and prove that these concepts admit nice local and global equivalent conditions. In particular we prove that, when ¿...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2020 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/176198 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/176198 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Non-positive at infinity valuations Rational surfaces Cone of curves MATEMATICA APLICADA |
| Resumo: | [EN] We consider rational surfaces Z defined by divisorial valuations ¿ of Hirzebruch surfaces. We introduce concepts of non-positivity and negativity at infinity for these valuations and prove that these concepts admit nice local and global equivalent conditions. In particular we prove that, when ¿ is non-positive at infinity, the extremal rays of the cone of curves of Z can be explicitly given |
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