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- W2016042992 abstract "This paper is concerned with an interpretation of f-cohomology, a modification of motivic cohomology of motives over number fields, in terms of motives over number rings. Under standard assumptions on mixed motives over finite fields, number fields and number rings, we show that the two extant definitions of f-cohomology of mixed motives Mη over a number field F—one via ramification conditions on ℓ-adic realizations, another one via the K-theory of proper regular models—both agree with motivic cohomology of η!* Mη[1]. Here η!* is constructed by a limiting process in terms of intermediate extension functors j!* defined in analogy to perverse sheaves." @default.
- W2016042992 created "2016-06-24" @default.
- W2016042992 creator A5088300240 @default.
- W2016042992 date "2012-03-01" @default.
- W2016042992 modified "2023-09-27" @default.
- W2016042992 title "f-cohomology and motives over number rings" @default.
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- W2016042992 doi "https://doi.org/10.2996/kmj/1333027252" @default.
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