Some recent transcendental techniques in algebraic and complex geometry
| dc.creator | Siu, Yum-Tong | |
| dc.date | 2002-12-01 | |
| dc.date.accessioned | 2026-07-07T04:54:10Z | |
| dc.date.available | 2026-07-07T04:54:10Z | |
| dc.description | This article discusses the recent transcendental techniques used in the proofs of the following three conjectures. (1)~The plurigenera of a compact projective algebraic manifold are invariant under holomorphic deformation. (2)~There exists no smooth Leviflat hypersurface in the complex projective plane. (3)~A generic hypersurface of sufficiently high degree in the complex projective space is hyperbolic in the sense that there is no nonconstant holomorphic map from the complex Euclidean line to it. | |
| dc.identifier | https://arxiv.org/abs/math/0212402 | |
| dc.identifier | http://arxiv.org/abs/math/0212402 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 1, 439--448 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66141 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 20C30, 20J05 | |
| dc.title | Some recent transcendental techniques in algebraic and complex geometry | |
| dc.type | text |