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More Arithmetic Fundamental Lemma conjectures: the case of Bessel subgroups

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arxiv 2108.02086 v1 pith:ZTCMQVGX submitted 2021-08-04 math.NT math.AGmath.RT

Wei Zhang This is my paper · ORCID
classification math.NTmath.AGmath.RT
keywords arithmeticconjecturesbesselfundamentalgrouplemmasomesubgroups
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abstract

We define some formal moduli space of quasi-isogenies of isoclinic $p$-divisible groups with a non-reductive group as the "structure group". We then formulate new Arithmetic Fundamental Lemma conjectures for Bessel subgroups in the context of the arithmetic Gan-Gross-Prasad conjectures. Some (very limited) evidence is presented.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Proof of the Biquadratic Linear AFL for GL(4)

    math.NT 2025-05 conditional novelty 7.0 of 10

    The biquadratic Guo-Jacquet and linear arithmetic fundamental lemmas for GL(4) with the unit Hecke function are proved by reduction to the coquadratic GL(2) case.

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