Let G be a simply connected semisimple algebraic group and let H^0 be the subgroup of points fixed under an involution of G. If V is an irreducible representation with a line L of vectors fixed by H^0 we consider the closure of the G-orbit of L in P(V). We describe the G-orbits of this closure and we prove that the normalization of this variety is homeomorphic to the variety itself.
Orbits in Degenerate Compactifications of Symmetric Varieties
MAFFEI, ANDREA
2009-01-01
Abstract
Let G be a simply connected semisimple algebraic group and let H^0 be the subgroup of points fixed under an involution of G. If V is an irreducible representation with a line L of vectors fixed by H^0 we consider the closure of the G-orbit of L in P(V). We describe the G-orbits of this closure and we prove that the normalization of this variety is homeomorphic to the variety itself.File in questo prodotto:
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