Gr\"obner basics for mixed Hodge modules
Rings and Algebras
2018-09-28 v1 Algebraic Geometry
Abstract
We develop a Gr\"obner basis theory for a class of algebras that generalizes both PBW-algebras and rings of differential algebras on smooth varieties. Emphasis lies on methods to compute filtrations and graded structures defined by weight vectors. The approach is tailored for bifiltered D-modules satisfying properties of mixed Hodge modules. As a key ingredient in functors of such modules our theory applies to compute the order filtration on pieces of a V-filtration.
Cite
@article{arxiv.1809.10473,
title = {Gr\"obner basics for mixed Hodge modules},
author = {Cornelia Rottner and Mathias Schulze},
journal= {arXiv preprint arXiv:1809.10473},
year = {2018}
}
Comments
44 pages