Representations of SL_2 and the distribution of points in P^n

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dc.creatorKuttler, J.
dc.creatorWallach, N. R.
dc.date2002-11-15
dc.date.accessioned2026-07-07T04:52:59Z
dc.date.available2026-07-07T04:52:59Z
dc.descriptionIt is an open problem to determine the dimension of the space of homogeneous polynomials of a fixed degree vanishing at finitely many points in the projective plane to certain multiplicities. We present various aspects of this problem and a version of a known algorithm (originally due to M. Nagata) to compute this dimension for nine or less points. Our methods are completely elementary and only involve the representation theory of SL_2.
dc.identifierhttps://arxiv.org/abs/math/0211245
dc.identifierhttp://arxiv.org/abs/math/0211245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65675
dc.subjectAlgebraic Geometry
dc.titleRepresentations of SL_2 and the distribution of points in P^n
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