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arXiv · 1203.6712

Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces

Dongwen Liu
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Abstract

We explicitly study Kato's residue homomorphisms in Milnor $K$-theory, which are closely related to Contou-Carr\`ere symbols. As applications we establish several reciprocity laws for certain locally defined maps on $K$-groups that are associated to arithmetic surfaces.

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Dongwen Liu. 2012-03-30. Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces. https://arxiv.org/abs/1203.6712

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