A counter-example to Huneke and Harbourne conjectures
Preprint
Abstract
We show that in general the third symbolic power of a radical ideal of points in the complex projective plane is not contained in the second usual power of that ideal. This shows that corresponding conjectures of Huneke and Harbourne have been too optimistic.Keywords
All Related Versions
This publication has 5 references indexed in Scilit:
- The Hesse pencil of plane cubic curvesL’Enseignement Mathématique, 2009
- The resurgence of ideals of points and the containment problemProceedings of the American Mathematical Society, 2009
- Comparing powers and symbolic powers of idealsJournal of Algebraic Geometry, 2009
- Comparison of symbolic and ordinary powers of idealsInventiones Mathematicae, 2002
- Uniform bounds and symbolic powers on smooth varietiesInventiones Mathematicae, 2001