Sur la compatibilité à Frobenius de l'isomorphisme de dualité relative
| dc.creator | Caro, Daniel | |
| dc.date | 2005-09-20 | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:08Z | |
| dc.date.available | 2026-07-07T12:34:08Z | |
| dc.description | Let $\V$ be a mixed characteristic complete discrete valuation ring, let $\X$ and $\Y$ be two smooth formal $\V$-schemes, let $f_0$ : $X \to Y$ be a projective morphism between their special fibers, let $T$ be a divisor of $Y$ such that $T_X := f_0 ^{-1} (T) $ is a divisor of $X$ and let $\M \in D ^\mathrm{b}_\mathrm{coh} (\D ^†_{\X} (\hdag T_X)_{\Q})$. We construct the relative duality isomorphism $ f_{0T +} \circ \DD_{\X, T_X} (\M) \riso \DD_{\Y, T} \circ f_{0T +} (\M)$. This generalizes the known case when there exists a lifting $f : \X \to \Y$ of $f_{0}$. Moreover, when $f_0$ is a closed immersion, we prove that this isomorphism commutes with Frobenius. | |
| dc.identifier | https://arxiv.org/abs/math/0509448 | |
| dc.identifier | http://arxiv.org/abs/math/0509448 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217317 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F10, 14F30 | |
| dc.title | Sur la compatibilité à Frobenius de l'isomorphisme de dualité relative | |
| dc.type | text |