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