Completeness in Zariski groups |
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Authors: | Markus Junker |
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Affiliation: | 1. Institut für mathematische Logik, Universit?t Freiburg, Eckerstrasse 1, 79104, Freiburg, Germany
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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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