Hodge cohomology of invertible sheaves
| dc.creator | Esnault, Hélène | |
| dc.creator | Ogus, Arthur | |
| dc.date | 2007-09-21 | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T09:23:27Z | |
| dc.date.available | 2026-07-07T09:23:27Z | |
| dc.description | v2: We improved a little bit according to the referee's wishes. v1: On $X$ projective smooth over a field $k$, Pink and Roessler conjecture that the dimension of the Hodge cohomology of an invertible $n$-torsion sheaf $L$ is the same as the one of its $a$-th power $L^a$ if $a$ is prime to $n$, under the assumptions that $X$ lifts to $W_2(k)$ and $dim X\le p$, if $k$ has characteristic $p>0$. They show this if $k$ has characteristic 0 and if $n$ is prime to $p$ in characteristic $p>0$. We show the conjecture in characteristic $p>0$ if $n=p$ assuming in addition that $X$ is ordinary (in the sense of Bloch-Kato). | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0709.3447 | |
| dc.identifier | http://arxiv.org/abs/0709.3447 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155739 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hodge cohomology of invertible sheaves | |
| dc.type | text |