Sur une conjecture de Kottwitz au bord

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Abstract

We are interested in the intersection cohomology of the minimal compactification of Siegel modular varieties at some places of bad reduction. We compute the semi-simple trace of the Frobenius morphism on the fibers of the nearby cycles of the intersection complex. We obtain a common generalization of results of Morel, Haines and Ngô.

Original languageFrench
Pages (from-to)143-165
Number of pages23
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume45
Issue number1
DOIs
Publication statusPublished - 1 Jan 2012
Externally publishedYes

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