The plectic weight filtration on cohomology of Shimura varieties and partial 
Frobenius

Wu, Zhiyou

doi:10.1017/fms.2021.27

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学術論文

The plectic weight filtration on cohomology of Shimura varieties and partial Frobenius

MPS-Authors

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Wu, Zhiyou
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.1017/fms.2021.27
(出版社版)

https://doi.org/10.48550/arXiv.1911.02096
(プレプリント)

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Wu_The plectic weight filtration on cohomology of Shimura varieties and partial Frobenius_2021.pdf
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引用

Wu, Z. (2021). The plectic weight filtration on cohomology of Shimura varieties and partial Frobenius. Forum of Mathematics, Sigma, 9:. doi:10.1017/fms.2021.27.

引用: https://hdl.handle.net/21.11116/0000-0008-9559-C

要旨

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.