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

Shi, Fang

doi:10.1090/proc/16836

Vanishing linear periods of cuspidal automorphic sheaves for $\operatorname {GL}_{m+n}$
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by Fang Shi;

Proc. Amer. Math. Soc. 152 (2024), 2763-2775

DOI: https://doi.org/10.1090/proc/16836

Published electronically: May 15, 2024

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Abstract:

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

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