Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds

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dc.creatorGoertz, Ulrich
dc.creatorHaines, Thomas J.
dc.date2005-02-23
dc.date.accessioned2026-07-07T05:17:26Z
dc.date.available2026-07-07T05:17:26Z
dc.descriptionWe study certain nearby cycles sheaves on an affine flag manifold which arise naturally in the Beilinson-Gaitsgory deformation of the affine flag manifold to the affine Grassmannian. We study the multiplicity functions we introduced in an earlier paper, which encode the data of the Jordan-Hoelder series. We prove the multiplicity functions are polynomials in q, and we give a sharp bound for their degrees. Our results apply as well to the nearby cycles in the p-adic deformation of Laumon-Haines-Ngo, and also to Wakimoto sheaves.
dc.description12 pp
dc.identifierhttps://arxiv.org/abs/math/0502499
dc.identifierhttp://arxiv.org/abs/math/0502499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74300
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleBounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds
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