Two-orbit varieties with smaller orbit of codimension two
Copyright policy )Two-orbit varieties with smaller orbit of codimension two
Elementary objects in invariant theory are orbits of reductive groups and their closures. Special examples of these are the two-orbit varieties on which a reductive group acts with two orbits. A complete characterization of such varieties is given for the case when the small orbit is of codimension two. This characterization requires methods from algebraic geometry, the study of equivariant birational maps and some results from the theory of torus embeddings.
- Ruhr University Bochum Germany
Homogeneous spaces and generalizations, birational maps, Group actions on varieties or schemes (quotients), two-orbit varieties, orbits of reductive groups, torus embeddings, almost-homogeneous varieties, codimension two orbit
Homogeneous spaces and generalizations, birational maps, Group actions on varieties or schemes (quotients), two-orbit varieties, orbits of reductive groups, torus embeddings, almost-homogeneous varieties, codimension two orbit
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