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arxiv: 0912.4512 · v1 · submitted 2009-12-22 · 🧮 math.AG · math.RT

Le lemme fondamental pond\'er\'e. II. \'Enonc\'es cohomologiques

classification 🧮 math.AG math.RT
keywords cohomologyfibrationhitchinarthurcohomologiquesconsequenceellipticenonc
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In this paper, we study the cohomology of the truncated Hitchin fibration, which was introduced in a previous paper. We extend Ng\^o's main theorems on the cohomology of the elliptic part of the Hitchin fibration. As a consequence, we get a proof of Arthur's weighted fundamental lemma

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