





















Abstract:We give several formulas for how Iwasawa $\mu$-invariants of abelian varieties over unramified $\mathbb{Z}_{p}$-extensions of function fields change under isogeny. These are analogues of Schneider's formula in the number field setting. We also prove that the validity of the Birch--Swinnerton-Dyer conjecture (including the leading coefficient formula) over function fields is invariant under isogeny, without using the result of Kato--Trihan.
From: Takashi Suzuki [view email]
[v1]
Wed, 31 Jul 2024 08:33:25 UTC (19 KB)
[v2]
Wed, 22 Jan 2025 09:37:01 UTC (19 KB)
[v3]
Tue, 2 Jun 2026 09:32:20 UTC (26 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。