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math.AG2002★ 2 cited
Homogeneous coordinates for algebraic varieties
Florian Berchtold, Juergen Hausen
We associate to every divisorial (e.g. smooth) variety with only constant invertible global functions and finitely generated Picard group a -graded homogeneous coordina…
math.AG2002★ 1 cited
Lifting of morphisms to quotient presentations
Florian Berchtold
In this article we investigate algebraic morphisms between toric varieties. Given presentations of toric varieties as quotients we are interested in the question when a morphism ad…
math.AG2002★ 1 cited
Demushkin's Theorem in Codimension One
Florian Berchtold, Juergen Hausen
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)-dimensi…