Frobenius splitting and Möbius inversion

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dc.creatorKnutson, Allen
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:39Z
dc.date.available2026-07-07T12:40:39Z
dc.descriptionWe show that the fundamental class in K-homology of a Frobenius split scheme can be computed as a certain alternating sum over irreducible varieties, with the coefficients computed using Möbius inversion on a certain poset. If G/P is a generalized flag manifold and X is an irreducible subvariety homologous to a multiplicity-free union of Schubert varieties, then using a result of Brion we show how to compute the K_0-class [X] in K_0(G/P) from the Chow class in A_*(G/P).
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0902.1930
dc.identifierhttp://arxiv.org/abs/0902.1930
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219505
dc.subjectAlgebraic Geometry
dc.subject13A35; 14N10
dc.titleFrobenius splitting and Möbius inversion
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