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Completeness in Zariski groups
Authors:Markus Junker
Affiliation:1. Institut für mathematische Logik, Universit?t Freiburg, Eckerstrasse 1, 79104, Freiburg, Germany
Abstract:Zariski groups are ℵ0-stable groups with an axiomatically given Zariski topology and thus abstract generalizations of algebraic groups. A large part of algebraic geometry can be developed for Zariski groups. As a main result, any simple smooth Zariski group interprets an algebraically closed field, hence is almost an algebraic group over an algebraically closed field.
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