Demushkin's Theorem in codimension one | Zendy

Florian Berchtold | Zendy; J. Hausen | Zendy

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Demushkin's Theorem in codimension one

Author(s) -

Florian Berchtold,

J. Hausen

Publication year - 2003

Publication title -

mathematische zeitschrift

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.38

H-Index - 66

eISSN - 1432-1823

pISSN - 0025-5874

DOI - 10.1007/s00209-003-0506-2

Subject(s) - mathematics , codimension , affine transformation , torus , conjugate , automorphism , pure mathematics , automorphism group , affine variety , variety (cybernetics) , toric variety , extension (predicate logic) , combinatorics , discrete mathematics , mathematical analysis , geometry , statistics , computer science , programming language

Demushkin's Theorem says that any two toric structures on an affine variety Xare conjugate in the automorphism group of X. We provide the followingextension: Let an (n-1)-dimensional torus T act effectively on an n-dimensionalaffine toric variety X. Then T is conjugate in the automorphism group of X to asubtorus of the big torus of X.

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