Tame symbols and reciprocity laws on arithmetic surfaces

Details Tame symbols and reciprocity laws on arithmetic surfaces Tame symbols and reciprocity laws on arithmetic surfaces

2012-03-30

arxiv.org/abs/1203.6712v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

We define and study tame symbols for two-dimensional local fields, which are
closely related to Kato's residue homomorphisms in Milnor $K$-theory and also
explicitly related to Contou-Carrere symbols. As applications we establish
several reciprocity laws for tame symbols on arithmetic surfaces.

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