The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius
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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 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.
1981 ◽
Vol 1981
(324)
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pp. 192-210
2017 ◽
Vol 153
(9)
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pp. 1769-1778
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1991 ◽
Vol 37
(3)
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pp. 343-365
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2014 ◽
Vol 10
(01)
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pp. 161-176
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