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arXiv · 1911.02096

The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius

Zhiyou Wu
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Abstract

We prove that there is a natural plectic weight filtration on the cohomology of Hilbert modular varieties in the spirit of Nekovar and Scholl. This is achieved with the help of Morel's work on weight t-structures and a detailed study of partial Frobenius. We prove in particular that the partial Frobenius extends to toroidal and minimal compactifications.

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Zhiyou Wu. 2019-11-05. The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius. https://arxiv.org/abs/1911.02096

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