Explicit Hecke descent for special cycles

Syed Waqar Ali Shah

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arXiv · 2310.01677

Explicit Hecke descent for special cycles

Syed Waqar Ali Shah

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Abstract

We derive an explicit formula for the action of a geometric Hecke correspondence on special cycles on a Shimura variety in terms of such cycles at a fixed neat level and compare it with another closely related expression sometimes used in literature. We provide evidence that the two formulas do not agree in general.

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Syed Waqar Ali Shah. 2023-10-02. Explicit Hecke descent for special cycles. https://arxiv.org/abs/2310.01677

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