An explicit approach to residues on and dualizing sheaves of arithmetic surfaces

zbMath1258.14031arXiv0911.0590MaRDI QIDQ634458

Matthew Morrow

Publication date: 2 August 2011

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0590

zbMATH Keywords

Grothendieck dualityreciprocity lawsresiduesarithmetic surfaces

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Local cohomology and algebraic geometry (14B15) Ramification and extension theory (11S15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (7)

Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing ⋮ On ramification in transcendental extensions of local fields ⋮ Residues and duality on semi-local two-dimensional adeles ⋮ Kato's residue homomorphisms and reciprocity laws on arithmetic surfaces ⋮ LCA(2), Weil index, and product formula ⋮ Locally convex structures on higher local fields ⋮ Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory

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