Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 2, pages 215-221

Adelic constructions for direct images of differentials and symbols

D. Osipov

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.
Keywords. Adelic constructions, direct images of differentials and symbols.
AMS subject classification. 14F10, 19D45, 14C15, 14-99.

E-print: arXiv:math.NT/0012152

Denis Osipov
Department of algebra, Steklov mathematical institute, ul. Gubkina 8, Moscow GSP-1, 117966 Russia

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