Finite presentation of the tame fundamental group
| Autor: | Hélène Esnault, Mark Shusterman, Vasudevan Srinivas |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| DOI: | 10.48550/arxiv.2102.13424 |
| Popis: | Let $p$ be a prime number, and let $k$ be an algebraically closed field of characteristic $p$. We show that the tame fundamental group of a smooth affine curve over $k$ is a projective profinite group. We prove that the fundamental group of a smooth projective variety over $k$ is finitely presented. More generally we prove that the tame fundamental group of a smooth quasi-projective variety over $k$ which admits a good compactification is finitely presented. v2: references added. Thank you to all for the friendly and fruitful comments. Comment: 19 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|