Demushkin's Theorem in Codimension One
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
Demushkin's Theorem says that any two toric structures on an affine variety X are conjugate in the automorphism group of X. We provide the following extension: Let an (n-1)-dimensional torus T act effectively on an n-dimensional affine toric variety X. Then T is conjugate in the automorphism group of X to a subtorus of the big torus of X.
Cite
@article{arxiv.math/0209405,
title = {Demushkin's Theorem in Codimension One},
author = {Florian Berchtold and Juergen Hausen},
journal= {arXiv preprint arXiv:math/0209405},
year = {2007}
}
Comments
6 pages, to appear in Math. Z