Duke Mathematical Journal

The Abelianization of the real Cremona group

Susanna Zimmermann

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We present the Abelianization of the group of birational transformations of PR2.

Article information

Duke Math. J., Volume 167, Number 2 (2018), 211-267.

Received: 4 December 2015
Revised: 22 June 2017
First available in Project Euclid: 23 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Cremona group real algebraic geometry birational geometry


Zimmermann, Susanna. The Abelianization of the real Cremona group. Duke Math. J. 167 (2018), no. 2, 211--267. doi:10.1215/00127094-2017-0028. https://projecteuclid.org/euclid.dmj/1513998141

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