Presented By: Commutative Algebra Seminar - Department of Mathematics
Commutative Algebra Seminar -- A bound on the Hartshorne-Speiser-Lyubeznik number of semigroup rings
Havi Ellers
The Hartshorne-Speiser-Lyubeznik (HSL) number is a degree of nilpotency for modules with a Frobenius action. One important class of such modules is the class of local cohomology modules of a ring of positive characteristic. For this class of modules HSL numbers can be connected to various F-singularities, such as F-nilpotency and F-rationality. In this talk we give an upper bound for the HSL numbers of the local cohomology modules of pointed affine semigroup rings.