Rigidity of smooth Schubert varieties in Hermitian symmetric spaces
| dc.creator | Hong, Jaehyun | |
| dc.date | 2004-10-06 | |
| dc.date | 2005-04-21 | |
| dc.date.accessioned | 2026-07-07T05:12:56Z | |
| dc.date.available | 2026-07-07T05:12:56Z | |
| dc.description | Schubert varieties are irreducible subvarieties of homogeneous manifold, which are important to understand the geometry of homogeneous manifold G/P and the action of the semisimple Lie group G. Consider the space of effective cycles in G/P with homology class equal to an integral multiple of the homology class of a Schubert variety X_w of type w. We will show that for a smooth Schubert variety X_w in Hermitian symmetric space with trivial exceptions, this cycle space is simple: any irreducible subvariety X with homology class [X]=r[X_w] is again a Schubert variety of type w. | |
| dc.description | 17 pages. To appear in Transactions of AMS | |
| dc.identifier | https://arxiv.org/abs/math/0410138 | |
| dc.identifier | http://arxiv.org/abs/math/0410138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72767 | |
| dc.subject | Differential Geometry | |
| dc.subject | 14C25 (Primary) 32M15 (Secondary) | |
| dc.title | Rigidity of smooth Schubert varieties in Hermitian symmetric spaces | |
| dc.type | text |