Chennai Mathematical Institute


2.00 p.m.
Hilbert Functions of Cohomology Modules

Manoj Kummini
University of Kansas, U.S.A.


Local cohomology provides an algebraic tool for studying the cohomology of quasi-coherent sheaves on projective varieties. We look at the problem of determining the growth of dimension of cohomology vector spaces, and a related problem of finding the Castelnuovo--Mumford regularity of certain Ext-modules.