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Fat lines in P^3: powers versus symbolic powers
Preprint

Fat lines in P^3: powers versus symbolic powers

Abstract

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

Authors

Guardo E; Harbourne B; Van Tuyl A

Publication date

August 26, 2012

DOI

10.48550/arxiv.1208.5221

Preprint server

arXiv

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