Incompressibility of orthogonal Grassmannians of rank 2

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dc.creatorMathews, Bryant G.
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:21Z
dc.date.available2026-07-07T12:56:21Z
dc.descriptionFor a nondegenerate quadratic form phi on a vector space V of dimension 2n + 1, let X_d be the variety of d-dimensional totally isotropic subspaces of V. We give a sufficient condition for X_2 to be 2-incompressible, generalizing in a natural way the known sufficient conditions for X_1 and X_n. Key ingredients in the proof include the Chernousov-Merkurjev method of motivic decomposition as well as Pragacz and Ratajski's characterization of the Chow ring of (X_2)_E, where E is a field extension splitting phi.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0903.4243
dc.identifierhttp://arxiv.org/abs/0903.4243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224554
dc.subjectAlgebraic Geometry
dc.titleIncompressibility of orthogonal Grassmannians of rank 2
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