Proper triangular Ga-actions on A^4 are translations
Algebraic Geometry
2016-01-20 v1
Abstract
We describe the structure of geometric quotients for proper locally triangulable additve group actions on locally trivial A^3-bundles over a noetherian normal base scheme X defined over a field of characteristic 0. In the case where dim X=1, we show in particular that every such action is a translation with geometric quotient isomorphic to the total space of a vector bundle of rank 2 over X. As a consequence, every proper triangulable Ga-action on the affine four space A^4 over a field of characteristic 0 is a translation with geometric quotient isomorphic to A^3.
Keywords
Cite
@article{arxiv.1303.1032,
title = {Proper triangular Ga-actions on A^4 are translations},
author = {Adrien Dubouloz and David Finston and Imad Jaradat},
journal= {arXiv preprint arXiv:1303.1032},
year = {2016}
}