不可约自同构伽罗瓦表示的伴Bloch-Kato Selmer群的消失性

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2022-07-11 DOI:10.4310/pamq.2022.v18.n5.a5

J. Thorne

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引用次数: 2

摘要

设$\rho$是$p$-进伽罗瓦表示，它附在$GL_n$的一个倒形、正则代数、可极化的自同构表示上。仅在$\rho$满足不可约条件下，证明了$\rho$所附的Bloch—Kato Selmer群的消失性。这概括了作者和詹姆斯·牛顿以前的工作。

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On the vanishing of adjoint Bloch–Kato Selmer groups of irreducible automorphic Galois representations

Let $\rho$ be the $p$-adic Galois representation attached to a cuspidal, regular algebraic, polarizable automorphic representation of $GL_n$. Assuming only that $\rho$ satisfies an irreducibility condition, we prove the vanishing of the adjoint Bloch--Kato Selmer group attached to $\rho$. This generalizes previous work of the author and James Newton.

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.