Hyperbolicity of cycle spaces and automorphism groups of flag domains

Details Hyperbolicity of cycle spaces and automorphism groups of flag domains Hyperbolicity of cycle spaces and automorphism groups of flag domains

2010-03-31

arxiv.org/abs/1003.5974v1

Mathematics

Complex Variables

Scientific paper

If G_0 is a real form of a complex semisimple Lie group G and Z is compact G-homogeneous projective algebraic manifold, then G_0 has only finitely many orbits on Z. Complex analytic properties of open G_0-orbits D (flag domains) are studied. Schubert incidence-geometry is used to prove the Kobayashi hyperbolicity of certain cycle space components C_q(D). Using the hyperbolicity of C_q(D) and analyzing the action of Aut(D) on it, an exact description of Aut(D) is given. It is shown that, except in the easily understood case where D is holomorphically convex with a nontrivial Remmert reduction, it is a Lie group acting smoothly as a group of holomorphic transformations on D. With very few exceptions it is just G_0.

Affiliated with

Also associated with

No associations

Rating

Hyperbolicity of cycle spaces and automorphism groups of flag domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hyperbolicity of cycle spaces and automorphism groups of flag domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolicity of cycle spaces and automorphism groups of flag domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579614