scientific article

zbMath1383.11085MaRDI QIDQ2801887

I. B. Fesenko

Publication date: 22 April 2016

Full work available at URL: http://www.mathjournals.org/mmj/2015-015-003/2015-015-003-003.html

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zbMATH Keywords

higher topologiesintersection pairingnon locally compact groupshigher adelesadelic Euler characteristicgeometric adelic structure on surfaceslinear topological selfdualityRiemann-Roch theorem.

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Curves over finite and local fields (11G20) Adèle rings and groups (11R56) Topology of topological vector spaces (57N17) Varieties over finite and local fields (11G25)

Related Items (3)

Geometric and analytic structures on the higher adèles ⋮ Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing ⋮ Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory

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