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arXiv · 2206.09091

Hodge Filtrations on Tempered Hodge Modules

Dougal Davis·Kari Vilonen
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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.

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Dougal Davis, Kari Vilonen. 2022-06-18. Hodge Filtrations on Tempered Hodge Modules. https://arxiv.org/abs/2206.09091

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