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arXiv 1302.0871math.AGmath.AC
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一个消灭定理与平点理想的符号幂

A vanishing theorem and symbolic powers of planar point ideals

Marcin Dumnicki, Tomasz Szemberg, Halszka Tutaj-Gasinska

摘要:

本说明有两个目的。首先给出基理想为胖点理想的线性级数族的一个消灭定理。然后,我们应用这个结果,以便给一个猜想提出的Bocci,Harbourne和Huneke关于包含关系之间的普通和符号权力的平点理想的部分证明。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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