arXiv Open Access 2025

Special Cycle on Shtukas and Categorical Trace

Zeyu Wang
Lihat Sumber

Abstrak

In this article, we relate the fake special cycle classes $z_{\mathbb{L}_σ,r}$ attached to a Hecke eigensheaf $\mathbb{L}_σ\in\mathrm{Shv}_{\mathrm{Nilp}}(\mathrm{Bun}_G)$ 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.

Penulis (1)

Z

Zeyu Wang

Format Sitasi

Wang, Z. (2025). Special Cycle on Shtukas and Categorical Trace. https://arxiv.org/abs/2509.05526

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2025
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓