The Abelianisation of the real Cremona group
Susanna Zimmermann
TL;DR
This paper determines the abelianisation of the group of birational transformations of the real projective plane, providing insights into its algebraic structure.
Contribution
It explicitly computes the abelianisation of the real Cremona group, a significant step in understanding its algebraic properties.
Findings
The abelianisation of the real Cremona group is explicitly described.
Structural properties of the group are clarified through this abelianisation.
The work advances the understanding of birational transformation groups over the real numbers.
Abstract
We present the abelianisation of the birational transformations of the real projective plane.
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