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math.AGAug 11, 2005
26
citations (OpenAlex)
authors
  • D. V. Osipov
arXiv abstractPDF
paper

n-dimensional local fields and adeles on n-dimensional schemes

arXiv:math/0508205 · doi:10.1017/CBO9780511666315.005

Abstract

It is a survey paper on n-dimensional local fields and adeles on n-dimensional schemes.

30 pages, submitted for publication in the LMS Lecture Notes Series

Cited by in corpus (10)

  • Representations of Higher Adelic Groups and Arithmetic
  • On some questions related to the Krichever correspondence
  • Continuous homomorphisms between algebras of iterated Laurent series over a ring
  • Unramified two-dimensional Langlands correspondence
  • Harmonic analysis on local fields and adelic spaces II
  • Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields
  • Arithmetic surfaces and adelic quotient groups
  • On adelic quotient group for algebraic surface
  • Central extensions and Riemann-Roch theorem on algebraic surfaces
  • Noncommutative reciprocity laws on algebraic surfaces: a case of tame ramification
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