On the holomorphicity of genus two Lefschetz fibrations
| dc.creator | Siebert, Bernd | |
| dc.creator | Tian, Gang | |
| dc.date | 2003-05-24 | |
| dc.date.accessioned | 2026-07-07T04:58:14Z | |
| dc.date.available | 2026-07-07T04:58:14Z | |
| dc.description | We prove that any genus-2 Lefschetz fibration without reducible fibers and with ``transitive monodromy'' is holomorphic. The latter condition comprises all cases where the number of singular fibers is not congruent to 0 modulo 40. An auxiliary statement of independent interest is the holomorphicity of symplectic surfaces in S^2-bundles over S^2, of relative degree up to 7 over the base, and of symplectic surfaces in CP^2 of degree up to 17. | |
| dc.description | 54 pp., 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0305343 | |
| dc.identifier | http://arxiv.org/abs/math/0305343 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67556 | |
| dc.subject | Symplectic Geometry | |
| dc.title | On the holomorphicity of genus two Lefschetz fibrations | |
| dc.type | text |