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Register a new userThe Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
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Authors
Zhiyou Wu
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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 Morels 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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