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arXiv · 1302.0871

A vanishing theorem and symbolic powers of planar point ideals

Marcin Dumnicki·Tomasz Szemberg·Halszka Tutaj-Gasinska
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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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Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasinska. 2013-02-04. A vanishing theorem and symbolic powers of planar point ideals. https://doi.org/10.1112/s1461157013000181

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