Which rational double points occur on del Pezzo surfaces?
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,...
| 出版年: | Épijournal de Géométrie Algébrique |
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| 第一著者: | |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Association Epiga
2021-11-01
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| 主題: | |
| オンライン･アクセス: | https://epiga.episciences.org/7041/pdf |
| 要約: | 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. |
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| ISSN: | 2491-6765 |