Parametrisierung von Konjugationsklassen in sln.
Challenging problems on affine -space
Zerfällungskörper radizieller Körpererweiterungen.
Cohomological Dimension of Local Fields.
Inseparable Körpererweiterungen.
Über die Gelfand-Kirillov-Dimension.
Closures of Conjugacy Classes of Matrices are Normal.
Minimal Singularities in GLn.
Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen.
On the geometry of conjugacy classes in classical groupes.
Graded morphisms of -modules
Let be finite dimensional -algebra which is a complete intersection, i.e. whith a regular sequences . Steve Halperin conjectured that the connected component of the automorphism group of such an algebra is solvable. We prove this in case is in addition graded and generated by elements of degree 1.
On Automorphisms of the Affine Cremona Group
We show that every automorphism of the group of polynomial automorphisms of complex affine -space is inner up to field automorphisms when restricted to the subgroup of tame automorphisms. This generalizes a result of Julie Deserti who proved this in dimension where all automorphisms are tame: . The methods are different, based on arguments from algebraic group actions.
Reductive group actions with one-dimensional quotient
Semisimple group actions on the three dimensional affine space are linear.
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