Vanishing linear periods of cuspidal automorphic sheaves for 𝐺𝐿_{𝑚+𝑛}

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-03-09 DOI:10.1090/proc/16836

Fang Shi

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引用次数: 0

Abstract

In this paper, we prove a vanishing theorem concerning the periods of cuspidal automorphic sheaves for GL m + n \operatorname {GL}_{m+n} along the Levi subgroup GL m × GL n \operatorname {GL}_{m}\times \operatorname {GL}_{n} for m ≠ n m \neq n .

查看原文本刊更多论文

𝐺𝐿_{𝑚+𝑛}的尖顶自动形剪的消失线性周期

在本文中，我们证明了一个关于 GL m + n \operatorname {GL}_{m+n} 沿着 Levi 子群 GL m × GL n \operatorname {GL}_{m} \operatorname {GL}_{n} 的 m ≠ n m \neq n 的 cuspidal 自动形剪周期的消失定理。

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.