Infinite algebraic subgroups of the real Cremona group
Maria Fernanda Robayo, Susanna Zimmermann
TL;DR
This paper classifies the maximal infinite algebraic subgroups of the real Cremona group of the plane, providing a parametrization for each conjugacy class and showing the group is not generated by countably many such subgroups.
Contribution
It offers the first comprehensive classification of maximal infinite algebraic subgroups of the real Cremona group and introduces a parametrization for their conjugacy classes.
Findings
Classification of maximal infinite algebraic subgroups
Parametrization space for conjugacy classes
Real Cremona group not generated by countable union of these subgroups
Abstract
We give the classification of the maximal infinite algebraic subgroups of the real Cremona group of the plane up to conjugacy and present a parametrisation space of each conjugacy class. Moreover, we show that the real plane Cremona group is not generated by a countable union of its infinite algebraic subgroups.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry