15 September 2001 The global nilpotent variety is Lagrangian
Victor Ginzburg
Duke Math. J. 109(3): 511-519 (15 September 2001). DOI: 10.1215/S0012-7094-01-10933-2

Abstract

The purpose of this paper is to present a short elementary proof of a theorem due to G. Faltings and G. Laumon, which says that the global nilpotent cone is a Lagrangian substack in the cotangent bundle of the moduli space of G-bundles on a complex compact curve. This result plays a crucial role in the geometric Langlands program (see [BD]) since it insures that the $\mathscr{D}$-modules on the moduli space of G-bundles whose characteristic variety is contained in the global nilpotent cone are automatically holonomic and, in particular, have finite length.

Citation

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Victor Ginzburg. "The global nilpotent variety is Lagrangian." Duke Math. J. 109 (3) 511 - 519, 15 September 2001. https://doi.org/10.1215/S0012-7094-01-10933-2

Information

Published: 15 September 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1116.14007
MathSciNet: MR1853354
Digital Object Identifier: 10.1215/S0012-7094-01-10933-2

Subjects:
Primary: 14D20
Secondary: 53D12

Rights: Copyright © 2001 Duke University Press

Vol.109 • No. 3 • 15 September 2001
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