中文

正特征整体域上椭圆曲线的奇偶性猜想

数论 2019-02-20 v2

摘要

我们证明了特征p>3p > 3的正特征整体域上椭圆曲线的pp-奇偶性猜想。我们还给出了素数p\ell \neq p\ell-奇偶性猜想的部分结果。

关键词

引用

@article{arxiv.1011.2991,
  title  = {Parity conjectures for elliptic curves over global fields of positive characteristic},
  author = {Fabien Trihan and Christian Wuthrich},
  journal= {arXiv preprint arXiv:1011.2991},
  year   = {2019}
}

备注

to be published in Compositio Mathematica. This version differs slightly from the one to be published