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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
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.
Received: 10.06.2013 and 14.09.2013
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
Linking options:
https://www.mathnet.ru/eng/sm8252https://doi.org/10.1070/SM2013v204n12ABEH004356 https://www.mathnet.ru/eng/sm/v204/i12/p3
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Abstract page: | 576 | Russian version PDF: | 201 | English version PDF: | 14 | References: | 36 | First page: | 25 |
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