Filtration de monodromie et cycles evanescents formels

Details Filtration de monodromie et cycles evanescents formels Filtration de monodromie et cycles evanescents formels

2005-11-17

arxiv.org/abs/math/0511448v1

Mathematics

Algebraic Geometry

Scientific paper

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".

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