Demushkin's Theorem in Codimension One

Details Demushkin's Theorem in Codimension One Demushkin's Theorem in Codimension One

2002-09-30

arxiv.org/abs/math/0209405v1

Math. Z. 244, No. 4, 697-703 (2003)

Mathematics

Algebraic Geometry

6 pages, to appear in Math. Z

Scientific paper

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.

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