Some remarks on varieties of pairs of commuting upper triangular matrices and an interpretation of commuting varieties

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dc.creatorBasili, Roberta
dc.date2008-03-05
dc.date2008-03-18
dc.date.accessioned2026-07-07T09:27:02Z
dc.date.available2026-07-07T09:27:02Z
dc.descriptionIt is known that the variety of pairs of n x n commuting upper triangular matrices isn't a complete intersection for infinitely many values of n; we show that there exists m such that this happens if and only if n > m. We also show that m < 18 and that it could be found by determining the dimension of the variety of pairs of commuting strictly upper triangular matrices. Then we define a natural map from the variety of pairs of commuting n x n matrices onto a subvariety defined by linear equations of the grassmannian of subspaces of codimension 2 of a vector space of dimension n x n.
dc.descriptionLatex, 11 pages
dc.identifierhttps://arxiv.org/abs/0803.0722
dc.identifierhttp://arxiv.org/abs/0803.0722
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156959
dc.subjectAlgebraic Geometry
dc.subjectOperator Algebras
dc.subject15A30; 14L30
dc.titleSome remarks on varieties of pairs of commuting upper triangular matrices and an interpretation of commuting varieties
dc.typetext

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