A geometric approach to Standard Monomial Theory

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dc.creatorBrion, M.
dc.creatorLakshmibai, V.
dc.date2001-11-06
dc.date.accessioned2026-07-07T04:44:23Z
dc.date.available2026-07-07T04:44:23Z
dc.descriptionWe obtain a geometric construction of a ``standard monomial basis'' for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is compatible with Schubert varieties, opposite Schubert varieties, and unions of intersections of these varieties. Our approach relies on vanishing theorems and a degeneration of the diagonal ; it also yields a standard monomial basis for the multi-homogeneous coordinate rings of flag varieties of classical type.
dc.descriptionAMSLaTeX, 36 pages
dc.identifierhttps://arxiv.org/abs/math/0111054
dc.identifierhttp://arxiv.org/abs/math/0111054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62569
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14M15, 20G05 ; 14L30, 14L40
dc.titleA geometric approach to Standard Monomial Theory
dc.typetext

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