A class formula for effective Anderson motives

Xavier Caruso; Quentin Gazda; Alexis Lucas

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arXiv · 2609.17321

A class formula for effective Anderson motives

Xavier Caruso·Quentin Gazda·Alexis Lucas

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Abstract

We establish a class formula with variable for arbitrary effective Anderson motives. This pursues the pioneering work of Taelman and extends the scope of the work of Angl{è}s-Ngo Dac-Tavares Ribeiro, removing the admissibility assumption and allowing for more general Anderson modules. In the same setting, we further conjecture a ''nondeterminantal'' version of the class formula which holds before taking determinants and prove a weak version of it. Finally, we prove an overconvergent version of the class formula and derive from it strong convergence properties for the associated L-series.

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BibTeX RIS

Xavier Caruso, Quentin Gazda, Alexis Lucas. 2026-09-15. A class formula for effective Anderson motives. https://arxiv.org/abs/2609.17321

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