Fat lines in P^3: powers versus symbolic powers
Commutative Algebra
2012-08-28 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1208.5221,
title = {Fat lines in P^3: powers versus symbolic powers},
author = {Elena Guardo and Brian Harbourne and Adam Van Tuyl},
journal= {arXiv preprint arXiv:1208.5221},
year = {2012}
}
Comments
10 pages