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arXiv · 1809.10473

Gr\"obner basics for mixed Hodge modules

Cornelia Rottner·Mathias Schulze
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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.

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Cornelia Rottner, Mathias Schulze. 2018-09-27. Gr\"obner basics for mixed Hodge modules. https://arxiv.org/abs/1809.10473

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