Bergman kernels and local holomorphic Morse inequalities
| dc.creator | Berman, Robert | |
| dc.date | 2002-11-15 | |
| dc.date.accessioned | 2026-07-07T04:52:57Z | |
| dc.date.available | 2026-07-07T04:52:57Z | |
| dc.description | Let X be a hermitian manifold and let L^k be a high power of a hermitian line bundle over X. Local versions of Demailly's holomorphic Morse inequalities are presented - after integration they yield the usual inequalities. The local weak inequalities hold on any hermitian manifold X, regardless of compactness and completeness. The proofs, which are elementary, are based on a new approach to pointwise Bergman kernel estimates, where the kernels are estimated by a model kernel in the standard complex space C^n. | |
| dc.description | 19 pages. An extended version at http://www.math.chalmers.se/Math/Research/Preprints/ | |
| dc.identifier | https://arxiv.org/abs/math/0211235 | |
| dc.identifier | http://arxiv.org/abs/math/0211235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65666 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 32A25; 32L10; 32L20 | |
| dc.title | Bergman kernels and local holomorphic Morse inequalities | |
| dc.type | text |