The Abelianization of the real Cremona group

Susanna Zimmermann

doi:10.1215/00127094-2017-0028

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1 February 2018 The Abelianization of the real Cremona group

Susanna Zimmermann

Abstract

We present the Abelianization of the group of birational transformations of $\mathbb{P}^{2}_{\mathbb{R}}$ .

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Susanna Zimmermann. "The Abelianization of the real Cremona group." Duke Math. J. 167 (2) 211 - 267, 1 February 2018. https://doi.org/10.1215/00127094-2017-0028

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Received: 4 December 2015; Revised: 22 June 2017; Published: 1 February 2018

First available in Project Euclid: 23 December 2017

zbMATH: 06847245

MathSciNet: MR3754629

Digital Object Identifier: 10.1215/00127094-2017-0028

Subjects:

Primary: 14E07

Secondary: 14P99

Keywords: birational geometry , Cremona group , Real algebraic geometry

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