Sur le lemme fondamental pour les groupes unitaires

Details Sur le lemme fondamental pour les groupes unitaires Sur le lemme fondamental pour les groupes unitaires

2002-12-18

arxiv.org/abs/math/0212245v1

Mathematics

Algebraic Geometry

plain tex, 26 pages, in French

Scientific paper

Assuming the purity conjecture for the affine Springer fibers which has been formulated by Goresky, Kottwitz and MacPherson, we prove a geometric analog of the fundamental lemma for unitary groups. Our approach is similar to the one of Goresky, Kottwitz and MacPherson. Our main new ingredient is the link between affine Springer fibers and compactified Jacobians which is described in math.AG/0204109.

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