Schubert varieties and cycle spaces

Details Schubert varieties and cycle spaces Schubert varieties and cycle spaces

2002-04-02

arxiv.org/abs/math/0204033v2

Mathematics

Algebraic Geometry

15 pages, AMS-LaTeX

Scientific paper

Complex geometric properties of the orbits of a non-compact real form $G_0$ in a flag manifold $Z=G/Q$ of a complex semi-simple groups $G=G_0^\mathbb C$ are studied. Schubert varieties are used to construct a complex submanifold with optimal slice properties in any given $G_0$-orbit. For an open $G_0$- orbit $D$, given $p$ in the boundary of $D$, a variety $Y\setminus D$ containing $p$ with maximal dimension with respect to the compact cycles in $D$ is constructed. The method of incidence varieties then yields information on the complex geometry of the associated cycle space. In particular, holomorphic convexity is verified and in the Hermitian case a fine classification is obtained.

Affiliated with

Also associated with

No associations

Rating

Schubert varieties and cycle spaces 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 Schubert varieties and cycle spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schubert varieties and cycle spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316717