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

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

2000-12-18

arxiv.org/abs/math/0012152v1

Geom. Topol. Monogr. Volume 3(2000) 215-221

Mathematics

Number Theory

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

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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