Can I read Mixed Hodge structure on local cohomology with support in determinantal varieties on EtoBox?

Mixed Hodge structure on local cohomology with support in determinantal varieties by Perlman, Michael is a scholarly article available to read on EtoBox.

What is Mixed Hodge structure on local cohomology with support in determinantal varieties about?

We employ the inductive structure of determinantal varieties to calculate the mixed Hodge module structure of local cohomology modules with determinantal support. We show that the weight of a simple composition factor is uniquely determined by its support and cohomological degree. As a consequence, we obtain the equivariant structure of the Hodge filtration on each local cohomology module. Finally, as an application, we provide a formula for the generation level of the Hodge filtration on these modules.

Author

Perlman, Michael

Published

2021

Language

EN