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We classify affine varieties with an action of a connected,reductive algebraic group such that the group is isomorphic to an open orbit in the variety. This is accomplished by associating a set of one...
Centro-Affine Invariants for Smooth Convex Bodies
Centro-Affine Invariants Smooth Convex Bodies
2010/11/24
Employing a centro-affine flow on smooth convex bodies, we generate new centro-affine differential invariants. One class of the newly defined invariants is the object of a sharp isoperimetric inequali...
Homogeneous Hypersurfaces with Isotropy in Affine Four-space
Homogeneous Hypersurfaces Affine Four-space
2010/10/29
We classify the non-degenerate homogeneous hypersurfaces in real and complex affine four-space whose symmetry group is at least four-dimensional.
This paper is withdrawn by the authors.