Special Cycle on Shtukas and Categorical Trace

2025/09/05 by Zeyu Wang, Wang, Zeyu · 1 citation
Arts and Humanities · #Linguistics and Cultural Studies #Linguistics and language evolution #Language, Linguistics, Cultural Analysis

paper · pdf · doi:10.48550/arxiv.2509.05526

Abstract

In this article, we relate the fake special cycle classes z_\mathbbL_σ,r attached to a Hecke eigensheaf \mathbbL_σ\inShv_Nilp(Bun_G) introduced in the author's previous work to the isotypic part of special cycles on Shtukas. As an application, we relate the self-intersection number of the isotypic part of special cycles arising from Rankin--Selberg period to higher derivatives of Rankin--Selberg L-functions.

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