Counterexamples to the $I^{(3)} \subset I^2$ containment
Algebraic Geometry
2015-04-22 v3 Commutative Algebra
Abstract
We show that in general the third symbolic power of a radical ideal of points in the complex projective plane is not contained in the second usual power of that ideal. This answers in negative a question asked by Huneke and generalized by Harbourne.
Cite
@article{arxiv.1301.7440,
title = {Counterexamples to the $I^{(3)} \subset I^2$ containment},
author = {Marcin Dumnicki and Tomasz Szemberg and Halszka Tutaj-Gasinska},
journal= {arXiv preprint arXiv:1301.7440},
year = {2015}
}
Comments
Change of the title matches the printed version