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arXiv:math/0209405 [math.AG]AbstractReferencesReviewsResources

Demushkin's Theorem in Codimension One

Florian Berchtold, Juergen Hausen

Published 2002-09-30Version 1

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.

Comments: 6 pages, to appear in Math. Z
Journal: Math. Z. 244, No. 4, 697-703 (2003)
Categories: math.AG, math.AC
Subjects: 13A50, 14L30, 14M25, 14R20
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