Which rational double points occur on del Pezzo surfaces?
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866917864192081920 |
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| author | Stadlmayr, Claudia |
| author_facet | Stadlmayr, Claudia |
| contents | We determine all configurations of rational double points that occur on RDP del Pezzo surfaces of arbitrary degree and Picard rank over an algebraically closed field $k$ of arbitrary characteristic ${\rm char}(k)=p \geq 0$, generalizing classical work of Du Val to positive characteristic. Moreover, we give simplified equations for all RDP del Pezzo surfaces of degree $1$ containing non-taut rational double points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_14183 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Which rational double points occur on del Pezzo surfaces? Stadlmayr, Claudia Algebraic Geometry 14J17, 14J26, 14B05, 14G17 We determine all configurations of rational double points that occur on RDP del Pezzo surfaces of arbitrary degree and Picard rank over an algebraically closed field $k$ of arbitrary characteristic ${\rm char}(k)=p \geq 0$, generalizing classical work of Du Val to positive characteristic. Moreover, we give simplified equations for all RDP del Pezzo surfaces of degree $1$ containing non-taut rational double points. |
| title | Which rational double points occur on del Pezzo surfaces? |
| topic | Algebraic Geometry 14J17, 14J26, 14B05, 14G17 |
| url | https://arxiv.org/abs/2009.14183 |