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Fat lines in P3: Powers versus symbolic powers
Journal article

Fat lines in P3: Powers versus symbolic powers

Abstract

We study the symbolic and regular powers of ideals I for a family of special configurations of lines in P3. For this family, we show that I(m)=Im for all integers m if and only if I(3)=I3. We use these configurations to answer a question of Huneke that asks whether I(m)=Im for all m if equality holds when m equals the big height of the ideal I.

Authors

Guardo E; Harbourne B; Van Tuyl A

Journal

Journal of Algebra, Vol. 390, , pp. 221–230

Publisher

Elsevier

Publication Date

September 2013

DOI

10.1016/j.jalgebra.2013.05.028

ISSN

0021-8693