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Symbolic powers of planar point configurations

Algebraic Geometry 2012-05-29 v1

Abstract

We study initial degrees of symbolic powers of ideals of arbitrary finite sets of points in the projective plane over an algebraically closed field of characteristic zero. We show, how bounds on the growth of these degrees determine the geometry of the given set of points.

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Cite

@article{arxiv.1205.6002,
  title  = {Symbolic powers of planar point configurations},
  author = {Marcin Dumnicki and Tomasz Szemberg and Halszka Tutaj-Gasinska},
  journal= {arXiv preprint arXiv:1205.6002},
  year   = {2012}
}

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18 pages