Title | A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in |
Author(s) | Alexandra Seceleanu |
Type | Article in Journal |
Abstract | Abstract 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. |
ISSN | 0022-4049 |
URL |
http://www.sciencedirect.com/science/article/pii/S002240491500081X |
Language | English |
Journal | Journal of Pure and Applied Algebra |
Volume | 219 |
Number | 11 |
Pages | 4857 - 4871 |
Year | 2015 |
Edition | 0 |
Translation |
No |
Refereed |
No |