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arXiv · 1205.6002

Symbolic powers of planar point configurations

Marcin Dumnicki·Tomasz Szemberg·Halszka Tutaj-Gasinska
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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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Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasinska. 2012-05-27. Symbolic powers of planar point configurations. https://arxiv.org/abs/1205.6002

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