Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces

DOI10.1016/j.aim.2013.10.007zbMath1295.14031arXiv1203.6712OpenAlexW2035688924MaRDI QIDQ2445364

Dongwen Liu

Publication date: 14 April 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6712

zbMATH Keywords

reciprocity lawsarithmetic surfacesContou-Carrère symbolsKato's residue homomorphisms

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Higher symbols, Milnor (K)-theory (19D45) (K)-theory of local fields (11S70)

Related Items (3)

A higher-dimensional Contou-Carrère symbol: local theory ⋮ Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing ⋮ Residues and duality on semi-local two-dimensional adeles

Cites Work

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