Positivity in the Grothendieck group of complex flag varieties

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dc.creatorBrion, Michel
dc.date2001-05-31
dc.date.accessioned2026-07-07T04:41:55Z
dc.date.available2026-07-07T04:41:55Z
dc.descriptionWe prove a conjecture of A. S. Buch concerning the structure constants of the Grothendieck ring of a flag variety with respect to its basis of Schubert structure sheaves. For this, we show that the coefficients in this basis of the structure sheaf of any subvariety with rational singularities, have alternating signs. Equivalently, the class of the dualizing sheaf of such a subvariety is a nonnegative combination of classes of dualizing sheaves of Schubert varieties.
dc.descriptionAMSLaTeX; 21 pages
dc.identifierhttps://arxiv.org/abs/math/0105254
dc.identifierhttp://arxiv.org/abs/math/0105254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61562
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14M15; 14C35
dc.titlePositivity in the Grothendieck group of complex flag varieties
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