Counterexamples to the I(3) ⊂ I2 containment

JOURNAL OF ALGEBRA

卷:393

Article

Dumnicki, Marcin¹  Szemberg, Tomasz²  Tutaj-Gasinska, Halszka¹ 

[1] Jagiellonian Univ, Inst Math, PL-30348 Krakow, Poland

[2] UP, Inst Matemat, PL-30084 Krakow, Poland

关键词: Symbolic powers;    Fat points;   

DOI  :  10.1016/j.jalgebra.2013.06.039

来源: Elsevier

【 摘 要 】

The purpose of this short note is to show that there is in general no containment I-(3) subset of I-2 for an ideal I of points in P-2. This answers in the negative a question asked by Huneke and generalized by Harbourne. The sets of points constituting counterexamples come from the dual of the Hesse configuration and more generally from Fermat arrangements. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free