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Invitation to higher local fields, Part II, section 2: Adelic constructions for direct images of differentials and symbols

Denis Osipov

math.NTarXiv:math/0012152

Abstract

This work introduces adelic constructions of direct images of differentials and symbols in the two-dimensional case in the relative situation. In particular, reciprocity laws for relative residues of differentials and symbols are stated and applied to a construction of the Gysin map for Chow groups.

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