Subgroups of odd order in the real plane Cremona group

Abstract

In this paper we describe conjugacy classes of finite subgroups of odd order in the group of birational automorphisms of the real projective plane.

arXiv commentMissing case d=2 in Remark 1.3 added; Proposition 5.8 removed. All the main results unchanged

References in corpus (7)

• On G-Fano threefolds
• Simple finite subgroups of the Cremona group of rank 3
• Birational involutions of P^2
• Linearisation of finite abelian subgroups of the Cremona group of the plane
• The group of automorphisms of a real rational surface is n-transitive
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Cited by in corpus (8)

• The rationality problem for conic bundles
• Algebraic subgroups of the plane Cremona group over a perfect field
• Infinite algebraic subgroups of the real Cremona group
• p-subgroups in the space Cremona group
• Jordan constant for Cremona group of rank 3
• On $G$-birational rigidity of del Pezzo surfaces
• Del Pezzo surfaces of degree $5$ over perfect fields
• The real plane Cremona group is a non-trivial amalgam