2017/12/05 by Sakovics, Dmitrijs
#14E07 #14J45 #20C25 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1712.01587
Given a surface S and a finite group G of automorphisms of S, consider the birational maps S\dashrightarrow S' that commute with the action of G. This leads to the notion of a G-minimal variety. A natural question arises: for a fixed group G, is there a birational G-map between two different G-minimal surfaces? If no such map exists, the surface is said to be G-birationally rigid. This paper determines the G-rigidity of the projective plane for every finite subgroup G\subsetPGL3(ℂ).