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arXiv · 2610.17432

Plane Cremona maps preserving a Euclidean volume form

Marc Abboud·Jérémy Blanc·Stéphane Lamy
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Abstract

We give a presentation by generators and relations of the group of birational transformations of the plane preserving a differential form with poles along a triple line. This group strictly contains the automorphism group of the affine plane.

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Marc Abboud, Jérémy Blanc, Stéphane Lamy. 2026-10-12. Plane Cremona maps preserving a Euclidean volume form. https://arxiv.org/abs/2610.17432

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