Arithmetic surfaces and adelic quotient groups

DOI10.1070/IM8759zbMath1441.11286arXiv1801.02282OpenAlexW2784129202MaRDI QIDQ4583575

D. V. Osipov

Publication date: 31 August 2018

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

Full work available at URL: https://arxiv.org/abs/1801.02282

zbMATH Keywords

arithmetic surfaceParshin-Beilinson adelesarithmetic adeles

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Adèle rings and groups (11R56) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (2)

Adelic quotient group for algebraic surfaces ⋮ Grothendieck-Serre duality and theta-invariants on arithmetic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Parshin-Beilinson adeles for schemes
• Residues and adeles
• Representations of Higher Adelic Groups and Arithmetic
• Harmonic analysis on local fields and adelic spaces. II
• Finiteness Problems in Diophantine Geometry
• Adelic quotient group for algebraic surfaces
• Zeta Functions of Reductive Groups and Their Zeros
• Second Chern numbers of vector bundles and higher adeles
• Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
• A holomorphic version of the Tate-Iwasawa method for unramifiedL-functions. I
• Intersections of adelic groups on a surface

This page was built for publication: Arithmetic surfaces and adelic quotient groups