Non-minimal scalar-flat Kaehler surfaces and parabolic stability
| dc.creator | Rollin, Yann | |
| dc.creator | Singer, Michael A. | |
| dc.date | 2004-04-22 | |
| dc.date | 2004-12-10 | |
| dc.date.accessioned | 2026-07-07T06:29:42Z | |
| dc.date.available | 2026-07-07T06:29:42Z | |
| dc.description | A new construction is presented of scalar-flat Kaehler metrics on non-minimal ruled surfaces. The method is based on the resolution of singularities of orbifold ruled surfaces which are closely related to rank-2 parabolically stable holomorphic bundles. This rather general construction is shown also to give new examples of low genus: in particular, it is shown that CP^2 blown up at 10 suitably chosen points, admits a scalar-flat Kaehler metric; this answers a question raised by Claude LeBrun in 1986 in connection with the classification of compact self-dual 4-manifolds. | |
| dc.description | Final version, 30 pages, the appendix has been suppressed and will appear elsewhere, to be published in Inventiones Mathematicae | |
| dc.identifier | https://arxiv.org/abs/math/0404423 | |
| dc.identifier | http://arxiv.org/abs/math/0404423 | |
| dc.identifier | Inventiones Mathematicae, vol 162 (2005) p237-270 | |
| dc.identifier | doi:10.1007/s00222-004-0436-6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98126 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C55; 53C25; 53C20; 53C21; 14E15 | |
| dc.title | Non-minimal scalar-flat Kaehler surfaces and parabolic stability | |
| dc.type | text |