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• W2898812909 abstract "A main theme of the paper is a conjecture of Bloch-Kato on the image of $p$-adic regulator maps for a proper smooth variety $X$ over an algebraic number field $k$. The conjecture for a regulator map of particular degree and weight is related to finiteness of two arithmetic objects: One is the $p$-primary torsion part of the Chow group in codimension 2 of $X$. Another is an unramified cohomology group of $X$. As an application, for a regular model ${mathscr X}$ of $X$ over the integer ring of $k$, we show an injectivity result on torsion of a cycle class map from the Chow group in codimension 2 of ${mathscr X}$ to a new $p$-adic cohomology of ${mathscr X}$ introduced by the second author, which is a candidate of the conjectural etale motivic cohomology with finite coefficients of Beilinson-Lichtenbaum." @default.
• W2898812909 created "2018-11-09" @default.
• W2898812909 creator A5020979939 @default.
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• W2898812909 date "2006-12-04" @default.
• W2898812909 modified "2023-09-27" @default.
• W2898812909 title "Torsion cycle class maps in codimension two of arithmetic schemes" @default.
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• W2898812909 hasPublicationYear "2006" @default.
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