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

G. Laumon·M. Rapoport
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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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BibTeXRIS

G. Laumon, M. Rapoport. 1995-03-14. The Langlands lemma and the Betti numbers of stacks of $G$--bundles on a curve. https://arxiv.org/abs/alg-geom/9503006

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