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Article Dans Une Revue Inventiones Mathematicae Année : 2022

A class formula for admissible Anderson modules

Résumé

In 2012 Taelman proved a class formula for Drinfeld F_q[θ]-modules. For an arbitrary coefficient ring A, several deep but partial results in the direction of a class formula for Drinfeld A-modules have been obtained. In this paper, using a completely new approach based on the notion of Stark units, we establish the class formula for Drinfeld A-modules in full generality. Further we extend this class formula for A-finite or abelian Anderson modules and more generally for admissible Anderson modules.
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Dates et versions

hal-02490566 , version 1 (25-02-2020)
hal-02490566 , version 2 (16-09-2021)

Identifiants

Citer

Bruno Angles, Tuan Ngo Dac, Floric Tavares-Ribeiro. A class formula for admissible Anderson modules. Inventiones Mathematicae, 2022, 229, pp.563-606. ⟨10.1007/s00222-022-01110-3⟩. ⟨hal-02490566v2⟩
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