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

J. Kuttler; N. R. Wallach

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arXiv · math/0211245

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

J. Kuttler·N. R. Wallach

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Abstract

It 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.

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BibTeX RIS

J. Kuttler, N. R. Wallach. 2002-11-15. Representations of SL_2 and the distribution of points in P^n. https://arxiv.org/abs/math/0211245

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