Connected algebraic groups acting on algebraic surfaces

2020/04/10 by Pascal Fong, Fong, Pascal · 3 citations
Mathematics · #14E05 #14E07 #14H60 #14J50 #14L30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E05 #msc:14E07 #msc:14H60 #msc:14J50 #msc:14L30

paper · pdf · doi:10.48550/arxiv.2004.05101

To appear in Annales de l'Institut Fourier

arxiv created 2021/11/09 · arxiv updated 2021/11/10

Abstract

We classify the maximal connected algebraic subgroups of Bir(X), when X is a surface.

Cited by

• Birationally integrable vector fields on complex projective surfaces
• Automorphisms of punctual Hilbert schemes and symmetric powers of varieties
• When is the diagonal contractible?

Related

• Connected algebraic subgroups not lying in a maximal one
• Jordan groups and algebraic surfaces
• Maximal subgroups in the Cremona group
• Algebraic groups generated by semisimple elements
• Automorphisms of pointless surfaces