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Title: Intersections of adelic groups on a surface

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.

Authors:
;  [1]
  1. Steklov Mathematical Institute of the Russian Academy of Sciences (Russian Federation)
Publication Date:
OSTI Identifier:
22365848
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 204; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; SURFACES

Citation Formats

Budylin, R Ya, and Gorchinskiy, S O. Intersections of adelic groups on a surface. United States: N. p., 2013. Web. doi:10.1070/SM2013V204N12ABEH004356.
Budylin, R Ya, & Gorchinskiy, S O. Intersections of adelic groups on a surface. United States. https://doi.org/10.1070/SM2013V204N12ABEH004356
Budylin, R Ya, and Gorchinskiy, S O. 2013. "Intersections of adelic groups on a surface". United States. https://doi.org/10.1070/SM2013V204N12ABEH004356.
@article{osti_22365848,
title = {Intersections of adelic groups on a surface},
author = {Budylin, R Ya and Gorchinskiy, S O},
abstractNote = {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.},
doi = {10.1070/SM2013V204N12ABEH004356},
url = {https://www.osti.gov/biblio/22365848}, journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 12,
volume = 204,
place = {United States},
year = {Tue Dec 31 00:00:00 EST 2013},
month = {Tue Dec 31 00:00:00 EST 2013}
}