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TitleA homological criterion for the containment between symbolic and ordinary powers of some ideals of points in
Author(s) Alexandra Seceleanu
TypeArticle in Journal
AbstractAbstract We establish a criterion for the (failure of) the containment I ( m ) ⊆ I r for 3-generated ideals I defining reduced sets of points in P 2 . Our criterion arises from studying the minimal free resolutions of the powers of I, specifically the minimal free resolutions for I m and I r . We apply this criterion to two point configurations that have recently arisen as counterexamples to a question of B. Harbourne and C. Huneke: the family of Fermat configurations and the Klein configuration.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S002240491500081X
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume219
Number11
Pages4857 - 4871
Year2015
Edition0
Translation No
Refereed No
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