Purity Results on $F$-crystals
| Autor: | Li, Jinghao |
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| Rok vydání: | 2014 |
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| Druh dokumentu: | Working Paper |
| Popis: | For an $F^n$-crystal $\mathfrak C$ over a reduced locally Noetherian $\mathbb F_p$-scheme $S$, Vasiu first obtained the purity of the Newton polygon strata of $S$ defined by $\mathfrak C$. Deligne later obtained the purity of the $p$-rank strata of $S$ defined by $\mathfrak C$. We prove a stronger result that for every fixed point $P_0$ in the $xy$-coordinate plane, the reduced locally closed subscheme $S_{P_0}=\{s\in S| NP(\mathfrak C_s)\mbox{ has }P_0\mbox{ as a break point}\}$ of $S$ is pure in $S$ (A weaker result was known for the weak purity of $S_{p_0}$). Comment: arXiv admin note: text overlap with arXiv:math/0205199 by other authors |
| Databáze: | arXiv |
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