Representations of SL_2 and the distribution of points in P^n
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0211245,
title = {Representations of SL_2 and the distribution of points in P^n},
author = {J. Kuttler and N. R. Wallach},
journal= {arXiv preprint arXiv:math/0211245},
year = {2007}
}