Schubert varieties and cycle spaces
| dc.creator | Huckleberry, A. | |
| dc.creator | Wolf, J. A. | |
| dc.date | 2002-04-02 | |
| dc.date | 2002-10-02 | |
| dc.date.accessioned | 2026-07-07T04:47:24Z | |
| dc.date.available | 2026-07-07T04:47:24Z | |
| dc.description | 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. | |
| dc.description | 15 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0204033 | |
| dc.identifier | http://arxiv.org/abs/math/0204033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63701 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14M15;15A03;51M35 | |
| dc.title | Schubert varieties and cycle spaces | |
| dc.type | text |