Vanishing theorems for locally conformal hyperkaehler manifolds
| dc.creator | Verbitsky, Misha | |
| dc.date | 2003-02-19 | |
| dc.date | 2003-10-13 | |
| dc.date.accessioned | 2026-07-07T04:55:24Z | |
| dc.date.available | 2026-07-07T04:55:24Z | |
| dc.description | Let M be a compact locally conformal hyperkaehler manifold. We prove a version of Kodaira-Nakano vanishing theorem for M. This is used to show that M admits no holomorphic differential forms, and the cohomology of the structure sheaf $H^i(O_M)$ vanishes for i>1. We also prove that the first Betti number of M is 1. This leads to a structure theorem for locally conformally hyperkaehler manifolds, describing them in terms of 3-Sasakian geometry. Similar results are proven for compact Einstein-Weyl locally conformal Kaehler manifolds. | |
| dc.description | 41 pages. Reference added, typing errors corrected | |
| dc.identifier | https://arxiv.org/abs/math/0302219 | |
| dc.identifier | http://arxiv.org/abs/math/0302219 | |
| dc.identifier | Proc. of Steklov Institute, vol. 246, 2004, pp. 54-79 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66564 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Vanishing theorems for locally conformal hyperkaehler manifolds | |
| dc.type | text |