Geodesic
The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
Forum of Mathematics, Sigma, Tome 9 (2021)

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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 Nekovář 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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     author = {Zhiyou Wu},
     title = {The {Plectic} {Weight} {Filtration} on {Cohomology} of {Shimura} {Varieties} and {Partial} {Frobenius}},
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Zhiyou Wu. The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2021.27

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