Equivariant classes of matrix matroid varieties

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dc.creatorFeher, L. M.
dc.creatorNemethi, A.
dc.creatorRimanyi, R.
dc.date2008-12-29
dc.date.accessioned2026-07-07T12:22:59Z
dc.date.available2026-07-07T12:22:59Z
dc.descriptionConsider an integer associated with every subset of the set of columns of an $n\times k$ matrix. The collection of those matrices for which the rank of a union of columns is the predescribed integer for every subset, will be denoted by $X_C$. We study the equivariant cohomology class represented by the Zariski closure $Y_C$ of this set. We show that the coefficients of this class are solutions to problems in enumerative geometry, which are natural generalization of the linear Gromov-Witten invariants of projective spaces. We also show how to calculate these classes and present their basic properties.
dc.identifierhttps://arxiv.org/abs/0812.4871
dc.identifierhttp://arxiv.org/abs/0812.4871
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213842
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject55N91; 05B35
dc.titleEquivariant classes of matrix matroid varieties
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