Cremona groups of real surfaces

Jérémy Blanc (1) , Frédéric Mangolte (2)

1 Unibas - Université de Bâle = University of Basel = Basel Universität
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

We give an explicit set of generators for various natural subgroups of the real Cremona group Bir_R(P^2). This completes and unifies former results by several authors.

Mots clés: real algebraic surface; rational surface; birational geometry; algebraic automorphism; Cremona transformation

Domaines: Géométrie algébrique [math.AG]

Jérémy Blanc, Frédéric Mangolte. Cremona groups of real surfaces. Automorphisms in Birational and Affine Geometry - Levico Terme, Italy, October 2012, 79, Springer, pp.35--58, 2014, Springer Proceedings in Mathematics & Statistics. ⟨hal-00838522⟩