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The Langlands lemma and the Betti numbers of stacks of G--bundles on a curve

1995/03/14 by G. Laumon, Laumon, G., M. Rapoport +1
Mathematics · #14H60 (Primary) 22E55 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG #msc:14H60 #msc:22E55

paper · pdf · doi:10.48550/arxiv.alg-geom/9503006

17 pages, PlainTeX

arxiv created 1995/03/14 · arxiv updated 2009/11/30

Abstract

In this note we show that the Langlands lemma from the theory of Eisenstein series can be used to invert the recursion relation for the Poincaré series of the open substack of semi-stable G-bundles which was established by Atiyah/Bott and Harder/Narasimhan.

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