On the variety of almost commuting nilpotent matrices

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dc.creatorZoque, Eliana
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:51:39Z
dc.date.available2026-07-07T12:51:39Z
dc.descriptionWe study the variety of n by n matrices with commutator of rank at most one. We describe its irreducible components; two of them correspond to the pairs of commuting matrices, and n-2 components of smaller dimension corresponding to the pairs of rank one commutator. In our proof we define a map to the zero fiber of the Hilbert scheme of points and study the image and the fibers.
dc.identifierhttps://arxiv.org/abs/0903.2032
dc.identifierhttp://arxiv.org/abs/0903.2032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223060
dc.subjectRepresentation Theory
dc.titleOn the variety of almost commuting nilpotent matrices
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