𝜇-type subgroups of 𝐽1(𝑁) and application to cyclotomic fields
2020 年 72 巻 2 号 p. 333-412
詳細
2020 年 72 巻 2 号 p. 333-412
Let 𝑝 be an odd prime number, and 𝑁 a positive integer prime to 𝑝. We prove that 𝜇-type subgroups of the modular Jacobian variety 𝐽1(𝑁) or 𝐽1(𝑁𝑝) of order a power of 𝑝 and defined over some abelian extensions of ℚ are trivial, under several hypotheses. For the proof, we use the method of Vatsal. As application, we show that a conjecture of Sharifi is valid in some cases.
この記事は最新の被引用情報を取得できません。
