Filtration de monodromie et cycles evanescents formels
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
V.Berkovich, K.Fujiwara and R.Huber have proved independently by different methods that the fiber of the vanishing cycles at a point of the special fiber depends only on the formal completion at this point. We refine this result and prove the invariance under formal completion of the perverse monodromy filtration on the fiber of vanishing cycles. This result is used in an essential way by P.Boyer in his work on some "simple Shimura varieties".
Keywords
Cite
@article{arxiv.math/0511448,
title = {Filtration de monodromie et cycles evanescents formels},
author = {Laurent Fargues},
journal= {arXiv preprint arXiv:math/0511448},
year = {2007}
}