Unipotent Group Actions on Del Pezzo Cones
Algebraic Geometry
2013-01-03 v2
Abstract
In a previous paper we established that for any del Pezzo surface Y of degree at least 4, the affine cone X over Y embedded via a pluri-anticanonical linear system admits an effective Ga-action. In particular, the group Aut(X) is infinite dimensional. In contrast, we show in this note that for a del Pezzo surface Y of degree at most 2 the generalized cones X as above do not admit any non-trivial action of a unipotent algebraic group.
Keywords
Cite
@article{arxiv.1212.4479,
title = {Unipotent Group Actions on Del Pezzo Cones},
author = {Takashi Kishimoto and Yuri Prokhorov and Mikhail Zaidenberg},
journal= {arXiv preprint arXiv:1212.4479},
year = {2013}
}
Comments
10p.; a reference added; minor changes