Grothendieck-Serre duality and theta-invariants on arithmetic surfaces

DOI10.1134/S1064562419040197zbMath1432.14026OpenAlexW4243158132WikidataQ127199002 ScholiaQ127199002MaRDI QIDQ2279778

D. V. Osipov

Publication date: 13 December 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562419040197

zbMATH Keywords

Arakelov degreePontryagin dual groupind-Euclidean latticepro-Euclidean lattice

Mathematics Subject Classification ID

Adèle rings and groups (11R56) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

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• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Harmonic analysis on local fields and adelic spaces. II
• Arithmetic surfaces and adelic quotient groups
• Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

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