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Intersections of adelic groups on a surface

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.

preprint2013arXivOpen access
Roman BudylinSergey Gorchinskiy
math.AG
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Open access2 authors1 topic
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Roman BudylinSergey Gorchinskiy

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