English

Intersections of adelic groups on a surface

Algebraic Geometry 2015-04-06 v1

Abstract

We solve a technical problem related to adeles on an algebraic surface. Given a finite set of natural numbers up to two, one associates 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.

Keywords

Cite

@article{arxiv.1310.2092,
  title  = {Intersections of adelic groups on a surface},
  author = {Roman Budylin and Sergey Gorchinskiy},
  journal= {arXiv preprint arXiv:1310.2092},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T01:42:25.897Z