The Kernel of the Gysin Homomorphism for Positive characteristic
| Autor: | Schoemann, Claudia, Werner, Skylar |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $k$ be an uncountable algebraically closed filed of positive characteristic and let $S_0$ be a connected smooth projective surface over $k$. We extend the theorem on the Gysin kernel from [28, Theorem 5.1] to also be true over $k$, where it was proved over $\mathbb{C}$. This is done by showing that almost all results still hold true over $k$ via the same argument or by using \'{e}tale base arguments and then use a lift with the Comparison theorem [22, Theorems 21.1 & 20.5] as needed. Comment: 39 pages. arXiv admin note: text overlap with arXiv:1405.6430 by other authors |
| Databáze: | arXiv |
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