Osaka Journal of Mathematics

Infinite algebraic subgroups of the real Cremona group

Maria Fernanda Robayo and Susanna Zimmermann

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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.

Article information

Osaka J. Math., Volume 55, Number 4 (2018), 681-712.

First available in Project Euclid: 10 October 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14E07: Birational automorphisms, Cremona group and generalizations
Secondary: 14L99: None of the above, but in this section 14P99: None of the above, but in this section


Robayo, Maria Fernanda; Zimmermann, Susanna. Infinite algebraic subgroups of the real Cremona group. Osaka J. Math. 55 (2018), no. 4, 681--712.

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