On restriction of roots on affine T-varieties
Algebraic Geometry
2011-12-20 v3
Abstract
Let X be a normal affine algebraic variety with regular action of a torus \TT and T\subset\TT be a subtorus. We prove that each root of X with respect to T can be obtained by restriction of some root of X with respect to \TT. This allows to get an elementary proof of the description of roots of the affine Cremona group. Several results on restriction of roots in the case of subtorus action on an affine toric variety are obtained.
Keywords
Cite
@article{arxiv.1104.0560,
title = {On restriction of roots on affine T-varieties},
author = {Polina Yu. Kotenkova},
journal= {arXiv preprint arXiv:1104.0560},
year = {2011}
}
Comments
10 pages, a complete description of the restriction of roots in the case of affine toric surfaces is added