A vanishing theorem and symbolic powers of planar point ideals
Algebraic Geometry
2019-02-20 v1 Commutative Algebra
Abstract
The purpose of this note is twofold. We present first a vanishing theorem for families of linear series with base ideal being a fat points ideal. We apply then this result in order to give a partial proof of a conjecture raised by Bocci, Harbourne and Huneke concerning containment relations between ordinary and symbolic powers of planar point ideals.
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Cite
@article{arxiv.1302.0871,
title = {A vanishing theorem and symbolic powers of planar point ideals},
author = {Marcin Dumnicki and Tomasz Szemberg and Halszka Tutaj-Gasinska},
journal= {arXiv preprint arXiv:1302.0871},
year = {2019}
}
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17 pages