| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9496486 | Journal of Number Theory | 2005 | 24 Pages |
Abstract
We describe the behaviour of the rank of the Mordell-Weil group of the Picard variety of the generic fibre of a fibration in terms of local contributions given by averaging traces of Frobenius acting on the fibres. The results give a reinterpretation of Tate's conjecture (for divisors) and generalises previous results of Nagao, Rosen-Silverman and the authors.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marc Hindry, AmÃlcar Pacheco, Rania Wazir,