59 citations · 277 across the 36 of their papers we have counts for
4 papers · 2 filters
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…
A Hilbert-Mumford criterion for SL_2-actions
Juergen Hausen
Let the special linear group act regularly on a -factorial variety . Consider a maximal torus and its normalizer . We prove: If $U \s…
A general Hilbert-Mumford Criterion
Juergen Hausen
We provide a Hilbert-Mumford Criterion for actions of reductive groups on -factorial complex varieties. The result allows to construct open subsets admitting a good quotient…
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…