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arxiv: 1612.00191 · v1 · pith:AL34CPXZnew · submitted 2016-12-01 · 🧮 math.AG

Infinite algebraic subgroups of the real Cremona group

classification 🧮 math.AG
keywords algebraiccremonagroupinfiniterealsubgroupsconjugacyplane
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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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