The Global Nilpotent Variety Is Lagrangian
نویسنده
چکیده
The purpose of this note is to present a short elementary proof of a theorem due to Faltings and Laumon, saying that the global nilpotent cone is a Lagrangian substack in the cotangent bundle of the moduli space of Gbundles on a complex compact curve. This result plays a crucial role in the Geometric Langlands program, see [BD], since it insures that the D-modules on the moduli space of G-bundles whose characteristic variety is contained in the global nilpotent cone are automatically holonomic, hence, e.g. have finite length.
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تاریخ انتشار 2000