Resumen de Containment results for ideals of various configurations of points in PN

Cristiano Bocci, Susan Marie Cooper, Brian Harbourne

• Guided by evidence coming from a few key examples and attempting to unify previous work of Chudnovsky, Esnault�Viehweg, Eisenbud�Mazur, Ein�Lazarsfeld�Smith, Hochster� Huneke and Bocci�Harbourne, Harbourne and Huneke recently formulated a series of conjectures that relate symbolic and regular powers of ideals of fat points in PN . In this paper we propose another conjecture along the same lines (Conjecture 3.9), and we verify it and the conjectures of Harbourne and Huneke for a variety of configurations of points.