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• W3149198902 abstract "We prove a duality theorem for the $p$-adic etale motivic cohomology of a variety $U$ which is the complement of a divisor on a smooth projective variety over $F_p$. This extends the duality theorems of Milne and Jannsen-Saito-Zhao. The duality introduces a filtration on $H^1_{etl}(U, {Q}/{Z})$. We identify this filtration to the classically known Matsuda filtration when the reduced part of the divisor is smooth. We prove a reciprocity theorem for the idele class groups with modulus introduced by Kerz-Zhao and Rulling-Saito. As an application, we derive the failure of Nisnevich descent for Chow groups with modulus." @default.
• W3149198902 created "2021-04-13" @default.
• W3149198902 creator A5063226126 @default.
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• W3149198902 date "2021-04-07" @default.
• W3149198902 modified "2023-09-26" @default.
• W3149198902 title "Ramified class field theory and duality over finite fields" @default.
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