English

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

Number Theory 2009-09-25 v1 Algebraic Geometry

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

Cite

@article{arxiv.math/0012152,
  title  = {Invitation to higher local fields, Part II, section 2: Adelic constructions for direct images of differentials and symbols},
  author = {Denis Osipov},
  journal= {arXiv preprint arXiv:math/0012152},
  year   = {2009}
}

Comments

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-II-2.abs.html