G-birational superrigidity of del Pezzo surfaces of degree 2 and 3

2018/08/15 by Dores, Lucas das, Mauri, Mirko
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.05023

Abstract

Any minimal Del Pezzo G-surface S of degree smaller than 3 is G-birationally rigid. We classify those which are G-birationally superrigid and for those which fail to be so, we describe the equations of a set of generators for the infinite group of G-birational automorphisms.

Related

• On G-birational rigidity of del Pezzo surfaces
• Automorphisms of threefolds that can be represented as an intersection\n of two quadrics
• Birational geometry of del Pezzo surfaces of degree 4
• Birational Geometry of sextic del Pezzo surfaces
• Birational rigidity of G-del Pezzo threefolds of degree 2