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arXiv · 2412.00467

On Kim's Assumption A over function fields

Héctor del Castillo·Luis Lomelí
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Abstract

We prove Kim's Assumtion A for the split classical groups in positive characteristic. Actually, we work in the slightly more general setting of groups of classical kind, which includes quasi-split classical groups and generalized spinor groups. We establish our results whenever a local Ramanujan bound holds; a bound that is known for the split classical groups in characteristic $p$, and we prove it for groups of classical kind under a local-global restriction.

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Héctor del Castillo, Luis Lomelí. 2024-11-30. On Kim's Assumption A over function fields. https://arxiv.org/abs/2412.00467

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