An intersection result for families of abelian varieties (Q1295552)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An intersection result for families of abelian varieties |
scientific article; zbMATH DE number 1308198
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An intersection result for families of abelian varieties |
scientific article; zbMATH DE number 1308198 |
Statements
An intersection result for families of abelian varieties (English)
0 references
19 August 1999
0 references
Consider a family of abelian varieties \(\pi:{\mathcal A}\to {\mathcal B}\), over \(\mathbb{C}\), with \({\mathcal B}\) a smooth projective curve. The paper provides two different proofs showing that if \(\pi: {\mathcal A}\to {\mathcal B}\) is not isotrivial any effective relatively ample divisor on \({\mathcal A}\) is strictly nef.
0 references
nef divisor
0 references
isotrivial a family of abelian varieties
0 references
ample divisor on abelian varieties
0 references
