On the parity conjecture for abelian surfaces
نویسندگان
چکیده
Assuming finiteness of the Tate–Shafarevich group, we prove that Birch–Swinnerton–Dyer conjecture correctly predicts parity rank semistable principally polarised abelian surfaces. If surface in question is Jacobian a curve, require curve has good ordinary reduction at 2-adic places.
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ژورنال
عنوان ژورنال: Proceedings of The London Mathematical Society
سال: 2023
ISSN: ['1460-244X', '0024-6115', '1234-5678']
DOI: https://doi.org/10.1112/plms.12545