Strong approximation theorem for absolutely integral varieties over PSC Galois extensions of global fields

zbMath1414.12008MaRDI QIDQ1747839

Moshe Jarden, Wulf-Dieter Geyer, Aharon Razon

Publication date: 27 April 2018

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2017/23-67.html

zbMATH Keywords

Picard groupPAC fieldstrong approximation theoremstabilizing element

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Global ground fields in algebraic geometry (14G25) Field arithmetic (12E30)

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On stabilizers of algebraic function fields of one variable ⋮ STRONG APPROXIMATION THEOREM FOR ABSOLUTELY IRREDUCIBLE VARIETIES OVER THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF A GLOBAL FIELD ⋮ PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF ℚ

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