Mixed Hodge modules without slope
Algebraic Geometry
2018-09-03 v1
Abstract
In this article we are interested in morphisms without slope for mixed Hodge modules. We first show the commutativity of iterated nearby cycles and vanishing cycles applied to a mixed Hodge module in the case of a morphism without slope. Then we define the notion "strictly without slope" for a mixed Hodge module and we show the preservation of this condition under the direct image by a proper morphism. As an application we prove the compatibility of the Hodge filtration and Kashiwara-Malgrange filtrations for some pure Hodge modules with support an hypersurface with quasi-ordinary singularities.
Keywords
Cite
@article{arxiv.1808.10719,
title = {Mixed Hodge modules without slope},
author = {Matthieu Kochersperger},
journal= {arXiv preprint arXiv:1808.10719},
year = {2018}
}