Linear bounds for levels of stable rationality
Algebraic Geometry
2011-02-25 v1 Representation Theory
Abstract
Let G be one of the groups SL_n C, Sp_2n C, SO_m C, O_m C, or G_2. For a generically free G-representation V, we say that N is a level of stable rationality for V/G if V/G x P^N is rational. In this paper we improve known bounds for the levels of stable rationality for the quotients V/G. In particular, their growth as functions of the rank of the group is linear for G one of the classical groups.
Cite
@article{arxiv.1102.4973,
title = {Linear bounds for levels of stable rationality},
author = {Fedor Bogomolov and Christian Böhning and Hans-Christian Graf von Bothmer},
journal= {arXiv preprint arXiv:1102.4973},
year = {2011}
}
Comments
63 pages