25 citations · 73 across the 17 of their papers we have counts for
21 papers
Solvable Automorphism Groups of Varieties
Serge Cantat, Hanspeter Kraft, Andriy Regeta +1
Let be a variety of dimension , and let be its automorphism group. When is quasi-affine, we prove that a solvable subgroup of that is…
On Ramanujam's Theorem About Finite Dimensional Groups of Automorphisms
Serge Cantat, Hanspeter Kraft, Andriy Regeta +1
Ramanujam's theorem states that any connected finite-dimensional subgroup of the automorphism group of an irreducible variety is an algebraic group, in a natu…
Automorphism groups of affine varieties and their Lie algebras
Hanspeter Kraft, Mikhail Zaidenberg
This is a brief overview of a few selected chapters on automorphism groups of affine varieties. It includes some open questions.
Algebraically generated groups and their lie algebras
Hanspeter Kraft, Mikhail Zaidenberg
The automorphism group Aut(X) of an affine variety X is an ind-group. Its Lie algebra is canonically embedded into the Lie algebra VF(X) of vector fields on X. We study the relatio…
Small G-varieties
Hanspeter Kraft, Andriy Regeta, Susanna Zimmermann
An affine varieties with an action of a semisimple group is called "small" if every non-trivial -orbit in is isomorphic to the orbit of a highest weight vector. Such a v…
Perpetuants: A Lost Treasure
Hanspeter Kraft, Claudio Procesi
We discuss the classical, and forgotten, notion of perpetuants. We give a proof of the Theorem of Stroh computing their dimensions, and exhibit a basis of perpetuants, thus closing…