A class formula for admissible Anderson modules

• 成果类型: Article
• 署名作者: Angles, Bruno; Tuan Ngo Dac; Ribeiro, Floric Tavares
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite de Caen Normandie
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-022-01110-3
• 发表日期: 2022
• 页码: 563-606
• 关键词: special l-values; l-series

摘要

In 2012 Taelman proved a class formula for Drinfeld F-q[t]-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.