Commutative Algebra and its Interactions A conference in honor of Mel Hochster July 31 - August 5, 2008 Abstract Detail   Title: Drops in Joint Hilbert-Kunz multiplicity We introduce a new version of a-tight closure, related to the one introduced by Hara and Yoshida in 2000, but which has the advantage that it is a true closure. We study a family of such closures, obtained by allowing a positive real number t as exponent. These closures get larger as the parameter t increases. The Joint Hilbert-Kunz multiplicity provides a criterion for membership in the a-tight closure (similar to the one proved by Hochster and Huneke for tight closure, using Hilbert-Kunz multiplicities). We study the difference between the Joint Hilbert-Kunz multiplicities of two ideals, as a function of the parameter t. Adela Vraciu University of South Carolina Email:  vraciu@math.sc.edu Phone: 803 576 5878   BACK to Speaker Listing BACK to Conference Home