On the Stark units of Drinfeld modules - Archive ouverte HAL
Chapitre D'ouvrage Année : 2020

On the Stark units of Drinfeld modules

Résumé

We present the notion of Stark units and various techniques involving it. The Stark units constitute a useful tool to study the unit and class modules of a Drinfeld module as defined by Taelman. We review some recent results on Drinfeld Fq[θ]-modules which make use of this notion. In particular, we present the "discrete Greenberg conjectures" which explain the structure of the class module of the canonical multi-variable deformations of the Carlitz module, and a result on the non vanishing modulo a given prime of a class of Bernoulli-Carlitz numbers. Contents
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Dates et versions

hal-04246980 , version 1 (17-10-2023)

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Floric Tavares Ribeiro. On the Stark units of Drinfeld modules. Arithmetic and Geometry over Local Fields, 2275, Springer International Publishing, pp.281-324, 2020, Lecture Notes in Mathematics, ⟨10.1007/978-3-030-66249-3_7⟩. ⟨hal-04246980⟩
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