Hodge Filtrations on Tempered Hodge Modules
Representation Theory
2023-03-10 v3 Algebraic Geometry
Abstract
We show that the Hodge filtration of a tempered Hodge module is generated by the lowest piece of its Hodge filtration. As a consequence, we prove the main conjecture of [SV] in the special case of tempered representations of real reductive Lie groups.
Keywords
Cite
@article{arxiv.2206.09091,
title = {Hodge Filtrations on Tempered Hodge Modules},
author = {Dougal Davis and Kari Vilonen},
journal= {arXiv preprint arXiv:2206.09091},
year = {2023}
}
Comments
9 pages. Minor changes to improve the clarity of the exposition (v2). Added a conceptual overview to the introduction (v3)