Étale Fundamental Groups of Strongly $\boldsymbol{F}$-Regular Schemes
| Autor: | Karl Schwede, Kevin Tucker, Javier Carvajal-Rojas, Bhargav Bhatt, Patrick Graf |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | International Mathematics Research Notices. 2019:4325-4339 |
| ISSN: | 1687-0247 1073-7928 |
| DOI: | 10.1093/imrn/rnx253 |
| Popis: | We prove that a strongly $F$-regular scheme $X$ admits a finite, generically Galois, and étale-in-codimension-one cover $\tilde X \to X$ such that the étale fundamental groups of $\tilde X$ and $\tilde X_{{\mathrm{reg}}}$ agree. Equivalently, every finite étale cover of $\tilde X_{{\mathrm{reg}}}$ extends to a finite étale cover of $\tilde X$. This is analogous to a result for complex klt varieties by Greb, Kebekus, and Peternell. |
| Databáze: | OpenAIRE |
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