A surface with discrete and non-finitely generated automorphism group
Algebraic Geometry
2019-05-29 v3 Dynamical Systems
Abstract
We show that there is a smooth complex projective variety, of any dimension greater than or equal to two, whose automorphism group is discrete and not finitely generated. Moreover, this variety admits infinitely many real forms which are mutually non-isomorphic over the real number field. Our result is inspired by the work of Lesieutre and answers questions by Dolgachev, Esnault and Lesieutre.
Cite
@article{arxiv.1710.07019,
title = {A surface with discrete and non-finitely generated automorphism group},
author = {Tien-Cuong Dinh and Keiji Oguiso},
journal= {arXiv preprint arXiv:1710.07019},
year = {2019}
}
Comments
final form to appear in Duke Math. J