Weight-monodromy conjecture over equal characteristic local fields
| dc.creator | Ito, Tetsushi | |
| dc.date | 2003-08-14 | |
| dc.date | 2005-01-26 | |
| dc.date.accessioned | 2026-07-07T05:00:24Z | |
| dc.date.available | 2026-07-07T05:00:24Z | |
| dc.description | The aim of this paper is to study certain properties of the weight spectral sequences of Rapoport-Zink by a specialization argument. By reducing to the case over finite fields previously treated by Deligne, we prove that the weight filtration and the monodromy filtration defined on the $l$-adic étale cohomology coincide, up to shift, for proper smooth varieties over equal characteristic local fields. We also prove that the weight spectral sequences degenerate at $E_2$ in any characteristic without using log geometry. Moreover, as an application, we give a modulo $p>0$ reduction proof of a Hodge analogue previously considered by Steenbrink. | |
| dc.description | 12 pages, AMS LaTeX, revised version, to appear in the American Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0308141 | |
| dc.identifier | http://arxiv.org/abs/math/0308141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68316 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary: 11G25; Secondary: 14G20, 14F20, 14D07 | |
| dc.title | Weight-monodromy conjecture over equal characteristic local fields | |
| dc.type | text |