Ricci-flat Deformations of Holomorphic Vector Bundles
| dc.creator | Kuehnel, Marco | |
| dc.date | 2007-01-19 | |
| dc.date | 2009-03-19 | |
| dc.date.accessioned | 2026-07-07T12:53:49Z | |
| dc.date.available | 2026-07-07T12:53:49Z | |
| dc.description | In this paper we give a criterion for a deformation of a hermitian vector bundle to be Ricci-flat. As an application we show that on a Kähler manifold, every deformation of a vector bundle can be made Ricci-flat whereas on some Hopf manifolds, the non-existence of a Ricci-flat deformation is related to non-trivial vector bundles on the universal cover ${\mathbb C}^n\setminus\{0\}$. On a surface with $b_1(X)\not=0$ filtrable Ricci-rigid vector bundles prove to be very special. We apply this to Inoue and Hopf surfaces. | |
| dc.description | 13 pages; Thm 6.6. corrected, more examples included | |
| dc.identifier | https://arxiv.org/abs/math/0701538 | |
| dc.identifier | http://arxiv.org/abs/math/0701538 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223751 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 | |
| dc.title | Ricci-flat Deformations of Holomorphic Vector Bundles | |
| dc.type | text |