Modifications et cycles évanescents sur une base de dimension supérieure à un
| dc.creator | Orgogozo, Fabrice | |
| dc.date | 2005-07-22 | |
| dc.date.accessioned | 2026-07-07T08:07:06Z | |
| dc.date.available | 2026-07-07T08:07:06Z | |
| dc.description | For a given morphism of schemes f:X->S, a sheaf F on X, a geometric point x on X, and s=f(x), the morphism f\_x : X(x) -> S(s) between the strict henselizations doesn't necessarily behave (with respect to F) like a proper morphism. However, we know it is so (assuming constructibility of F etc.) if S is the spectrum of a dvr (P. Deligne, SGA 4 1/2, [Th. finitude]). In this article, we prove it becomes so after an appropriate modification of the base S. The main ingredient is a theorem by A.J. de Jong on plurinodal fibrations. An application of this formalism to Lefschetz pencils is given. | |
| dc.description | In French. Submitted to IMRN | |
| dc.identifier | https://arxiv.org/abs/math/0507475 | |
| dc.identifier | http://arxiv.org/abs/math/0507475 | |
| dc.identifier | International Mathematics Research Notices 2006 (2006) Article ID 25315, 38 pages | |
| dc.identifier | doi:10.1155/IMRN/2006/25315 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130829 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Modifications et cycles évanescents sur une base de dimension supérieure à un | |
| dc.type | text |