Fibrations et conjecture de Tate
数论
2007-05-23 v2 代数几何
摘要
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.
关键词
引用
@article{arxiv.math/0311417,
title = {Fibrations et conjecture de Tate},
author = {Marc Hindry and Amilcar Pacheco and Rania Wazir},
journal= {arXiv preprint arXiv:math/0311417},
year = {2007}
}
备注
21 pages, revised version