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Sbornik: Mathematics, 2013, Volume 204, Issue 12, Pages 1701–1711
DOI: https://doi.org/10.1070/SM2013v204n12ABEH004356 (Mi sm8252) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Intersections of adelic groups on a surface

R. Ya. Budylin, S. O. Gorchinskiy

Steklov Mathematical Institute of the Russian Academy of Sciences
English version PDF (462 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM2013v204n12ABEH004356
Abstract: We solve a technical problem related to adeles on an algebraic surface. Given a finite set of natural numbers, one can associate with it an adelic group. We show that this operation commutes with taking intersections if the surface is defined over an uncountable field, and we provide a counterexample otherwise.
Bibliography: 12 titles.
Keywords: higher adeles, higher-dimensional local rings.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00145
13-01-12420 офи_м2
12-01-31506
12-01-33024
Ministry of Education and Science of the Russian Federation НШ-5139.2012.1
11.G34.31.0023
Dynasty Foundation
Received: 10.06.2013 and 14.09.2013
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 12, Pages 3–14
DOI: https://doi.org/10.4213/sm8252
Bibliographic databases:
Document Type: Article
UDC: 512.71
MSC: 14G99, 11R56
Language: English
Original paper language: Russian
Citation: R. Ya. Budylin, S. O. Gorchinskiy, “Intersections of adelic groups on a surface”, Mat. Sb., 204:12 (2013), 3–14; Sb. Math., 204:12 (2013), 1701–1711
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2013v204n12ABEH004356
  • https://www.mathnet.ru/eng/sm/v204/i12/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:576
    Russian version PDF:201
    English version PDF:14
    References:36
    First page:25
     
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