Schubert Unions in Grassmann Varieties

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dc.creatorHansen, Johan P.
dc.creatorJohnsen, Trygve
dc.creatorRanestad, Kristian
dc.date2005-03-07
dc.date.accessioned2026-07-07T05:17:44Z
dc.date.available2026-07-07T05:17:44Z
dc.descriptionWe study subsets of Grassmann varieties G(l,m) over a field F, such that these subsets are unions of Schubert cycles, with respect to a fixed flag. We study the linear spans of, and in case of positive characteristic, the number of points on such unions over finite fields. Moreover we study a geometric duality of such unions, and give a combinatorial interpretation of this duality. We discuss the maximum number of points over a finite field for the Schubert unions of a given spanning dimension, and we give some applications to coding theory. We define Schubert union codes, and study the parameters and support weights of these codes and of the well-known Grassmann codes.
dc.description37 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0503121
dc.identifierhttp://arxiv.org/abs/math/0503121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74417
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M15 (05E15, 94B27)
dc.titleSchubert Unions in Grassmann Varieties
dc.typetext

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