Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians

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dc.creatorRaghavan, K. N.
dc.creatorUpadhyay, Shyamashree
dc.date2007-10-16
dc.date2008-03-16
dc.date.accessioned2026-07-07T09:26:43Z
dc.date.available2026-07-07T09:26:43Z
dc.descriptionWe compute the initial ideals, with respect to certain conveniently chosen term orders, of ideals of tangent cones at torus fixed points to Schubert varieties in orthogonal Grassmannians. The initial ideals turn out to be square-free monomial ideals and therefore Stanley-Reisner face rings of simplicial complexes. We describe these complexes. The maximal faces of these complexes encode certain sets of non-intersecting lattice paths.
dc.description36 pages, 3 figures; for version 2: error in definition of "new form" corrected
dc.identifierhttps://arxiv.org/abs/0710.2950
dc.identifierhttp://arxiv.org/abs/0710.2950
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156849
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject05E15 (Primary); 13F50, 13P10, 14L35 (Secondary)
dc.titleInitial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians
dc.typetext

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