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Finite Orbits for Large Groups of Automorphisms of Projective Surfaces by Cantat, Serge; Dujardin, Romain is a scholarly article available to read on EtoBox.

What is Finite Orbits for Large Groups of Automorphisms of Projective Surfaces about?

We study finite orbits for non-elementary groups of automorphisms of compact projective surfaces. In particular we prove that if the surface and the group are defined over a number field k and the group contains parabolic elements, then the set of finite orbits is not Zariski dense, except in certain very rigid situations, known as Kummer examples. Related results are also established when k=C. An application is given to the description of "canonical vector heights" associated to such automorphism groups.

Author

Cantat, Serge; Dujardin, Romain

Published

2020

Language

EN