Defects for Ample Divisors of Abelian Varieties, Schwarz Lemma, and Hyperbolic Hypersurfaces of Low Degrees
| dc.creator | Siu, Yum-Tong | |
| dc.creator | Yeung, Sai-Kee | |
| dc.date | 1996-10-14 | |
| dc.date.accessioned | 2026-07-07T09:15:37Z | |
| dc.date.available | 2026-07-07T09:15:37Z | |
| dc.description | The main purpose of this paper is to prove the following theorem on the defect relations for ample divisors of abelian varieties. Main Theorem. Let $A$ be an abelian variety of complex dimension $n$ and $D$ be an ample divisor in $A$. Let $f:{\bf C}\rightarrow A$ be a holomorphic map. Then the defect for the map $f$ and the divisor $D$ is zero. Corollary to Main Theorem. The complement of an ample divisor $D$ in an abelian variety $A$ is hyperbolic in the sense that there is no nonconstant holomorphic map from $\bf C$ to $A-D$. | |
| dc.identifier | https://arxiv.org/abs/math/9610203 | |
| dc.identifier | http://arxiv.org/abs/math/9610203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153079 | |
| dc.subject | Complex Variables | |
| dc.subject | 32 | |
| dc.title | Defects for Ample Divisors of Abelian Varieties, Schwarz Lemma, and Hyperbolic Hypersurfaces of Low Degrees | |
| dc.type | text |