The global nilpotent variety is Lagrangian

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dc.creatorGinzburg, Victor
dc.date1997-04-10
dc.date2000-10-31
dc.date.accessioned2026-07-07T08:58:10Z
dc.date.available2026-07-07T08:58:10Z
dc.descriptionThe 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 G-bundles on a complex compact curve. This result plays a crucial role in the Geometric Langlands program, due to Beilinson-Drinfeld, 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.
dc.descriptionLaTeX, 9pp. Final version, to appear in Duke Math. J
dc.identifierhttps://arxiv.org/abs/alg-geom/9704005
dc.identifierhttp://arxiv.org/abs/alg-geom/9704005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147218
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleThe global nilpotent variety is Lagrangian
dc.typetext

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