Overconvergent F-isocrystals and differential overcoherence
| dc.creator | Caro, Daniel | |
| dc.date | 2006-11-03 | |
| dc.date.accessioned | 2026-07-07T07:32:30Z | |
| dc.date.available | 2026-07-07T07:32:30Z | |
| dc.description | Let $\mathcal{V}$ be a mixed characteristic complete discrete valuation ring, $k$ its residual field, $\mathcal{P}$ a proper smooth formal scheme over $\mathcal{V}$, $P$ its special fiber, $T$ a divisor of $P$, $U:=P\setminus T$, $Y$ a smooth closed subscheme of $U$. We prove that the category of overconvergent $F$-isocrystals on $Y$ is equivalent to the category of overcoherent $F$-isocrystals on $Y$. More generally, we prove such an equivalence by gluing for any smooth variety $Y$ over $k$. Moreover, we check that overcoherent $F$-complexes of arithmetic $\mathcal{D}$-modules split in overconvergent $F$-isocrystals. | |
| dc.identifier | https://arxiv.org/abs/math/0611089 | |
| dc.identifier | http://arxiv.org/abs/math/0611089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119134 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F30 | |
| dc.title | Overconvergent F-isocrystals and differential overcoherence | |
| dc.type | text |