Karl Schwede : Local cohomology of Du Bois singularities

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

April 27, 2016, 4 p.m.

In

SEO 427

Abstract

We prove a new result relating the local cohomology of scheme-theoretic thickenings of Du Bois singularities to the local cohomology of the original Du Bois singularity. This yields a number of results. For instance, this allows us to generalize a result of Kollár-Kovács to non-projective families. It lets us answer a question of Eisenbud-Mustata-Stillman on the relation between Ext and local cohomology. Finally, it implies that singularities of dense F-injective type deform. This is joint work with Linquan Ma and Kazuma Shimomoto.