2019/04/12 by Adrien Dubouloz, Dubouloz, Adrien, Charlie Petitjean +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AG
paper · pdf · doi:10.48550/arxiv.1904.06082
arxiv created 2019/04/12 · openalex publication_date 2019/04/12 · arxiv updated 2019/04/15 · openalex created_date 2019/04/25 · openalex updated_date 2026/07/28
We give an algebro-geometric classification of smooth real affine algebraic surfaces endowed with an effective action of the real algebraic circle group \mathbbS1 up to equivariant isomorphisms. As an application, we show that every compact differentiable surface endowed with an action of the circle S1 admits a unique smooth rational real quasi-projective model up to \mathbbS1-equivariant birational diffeomorphism.