Derived categories of coherent sheaves on rational homogeneous manifolds
| dc.creator | Böhning, Christian | |
| dc.date | 2005-06-21 | |
| dc.date.accessioned | 2026-07-07T05:20:53Z | |
| dc.date.available | 2026-07-07T05:20:53Z | |
| dc.description | Starting point of the present work is a conjecture of F. Catanese which says that in the derived category of coherent sheaves on any rational homogeneous manifold G/P there should exist a complete strong exceptional poset and a bijection of the elements of the poset with the Schubert varieties in G/P such that the partial order on the poset is the order induced by the Bruhat-Chevalley order. The goal of this work is to provide further evidence for Catanese's conjecture, clarify some aspects of it and supply new techniques. In particular we prove a theorem on the derived categories of quadric bundles, and show how one can find "small" generating sets for D^b(X) on symplectic or orthogonal isotropic Grassmannians by fibrational techniques.- The last section discusses a different approach based on a theorem of M. Brion and cellular resolutions of monomial ideals. | |
| dc.description | 82 pages | |
| dc.identifier | https://arxiv.org/abs/math/0506429 | |
| dc.identifier | http://arxiv.org/abs/math/0506429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75548 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F05 (Primary) 14M15, 18E30 (Secondary) | |
| dc.title | Derived categories of coherent sheaves on rational homogeneous manifolds | |
| dc.type | text |