Cycle spaces of G-orbits in $G^\mathbb C$-flag manifolds
Representation Theory
2007-05-23 v2 Complex Variables
Abstract
It is shown that the cycle space of an arbitrary orbit of a non-Hermitian real form G in a flag manifold of its complexification is naturally equivalent to a certain universal domain which depends only on G. This makes use of complex geometric methods which were recently developed for the purpose of handling the case of open orbits together with a better understanding of the connection to Schubert varieties and the related complex slices along lower-dimensional Gorbits.
Cite
@article{arxiv.math/0212327,
title = {Cycle spaces of G-orbits in $G^\mathbb C$-flag manifolds},
author = {A. Huckleberry and B. Ntatin},
journal= {arXiv preprint arXiv:math/0212327},
year = {2007}
}
Comments
7 pages manuscript, submitted