Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces
Algebraic Geometry
2015-05-07 v2 Number Theory
Abstract
We explicitly study Kato's residue homomorphisms in Milnor -theory, which are closely related to Contou-Carr\`ere symbols. As applications we establish several reciprocity laws for certain locally defined maps on -groups that are associated to arithmetic surfaces.
Keywords
Cite
@article{arxiv.1203.6712,
title = {Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces},
author = {Dongwen Liu},
journal= {arXiv preprint arXiv:1203.6712},
year = {2015}
}
Comments
Substantially revised based a referee report