Affiliation:
1. Department of Mathematics University College London London UK
2. School of Mathematics University of Bristol Bristol UK
Abstract
AbstractAssuming finiteness of the Tate–Shafarevich group, we prove that the Birch–Swinnerton–Dyer conjecture correctly predicts the parity of the rank of semistable principally polarised abelian surfaces. If the surface in question is the Jacobian of a curve, we require that the curve has good ordinary reduction at 2‐adic places.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Root numbers and parity phenomena;Bulletin of the London Mathematical Society;2023-10-05
2. 2‐Selmer parity for hyperelliptic curves in quadratic extensions;Proceedings of the London Mathematical Society;2023-09-30