Rationality of quotients by linear actions of affine groups
Algebraic Geometry
2011-03-08 v2
Abstract
Let G be the (special) affine group, semidirect product of SL_n and C^n. In this paper we study the representation theory of G and in particular the question of rationality for V/G where V is a generically free G-representation. We show that the answer to this question is positive if the dimension of V is sufficiently large and V is indecomposable. We have a more precise theorem if V is a two-step extension 0 -> S -> V -> Q -> 0 with S, Q completely reducible.
Keywords
Cite
@article{arxiv.1005.2375,
title = {Rationality of quotients by linear actions of affine groups},
author = {Fedor Bogomolov and Christian Böhning and Hans-Christian Graf von Bothmer},
journal= {arXiv preprint arXiv:1005.2375},
year = {2011}
}
Comments
18 pages; dedicated to Fabrizio Catanese on the occasion of his 60th birthday