The automorphism group of a rational projective k*-surface
Algebraic Geometry
2020-12-02 v2
Abstract
We consider possibly singular rational projective k*-surfaces and provide an explicit description of the unit component of the automorphism group in terms of isotropy group orders and intersection numbers of suitable invariant curves. As an application, we characterize the almost homogeneous rational projective k*-surfaces and we specify the two-dimensional groups acting almost transitively as well as the corresponding homogeneous spaces.
Keywords
Cite
@article{arxiv.2010.06414,
title = {The automorphism group of a rational projective k*-surface},
author = {Juergen Hausen and Timo Hummel},
journal= {arXiv preprint arXiv:2010.06414},
year = {2020}
}
Comments
64 pages, applications added