Arithmetic of function field units
Bruno Angl\`es, Floric Tavares Ribeiro
TL;DR
This paper establishes a discrete analogue of Greenberg's conjectures for cyclotomic fields within the context of Taelman's class modules, advancing the understanding of function field units.
Contribution
It introduces a novel discrete analogue of Greenberg's conjectures for function field units, extending the scope of class module theory.
Findings
Proves a discrete analogue of Greenberg's conjectures for function fields.
Links Taelman's class modules with Greenberg's conjectures.
Provides new insights into the arithmetic of function field units.
Abstract
We prove a "discrete analogue" for Taelman's class modules of certain Conjectures formulated by R. Greenberg for cyclotomic fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Advanced Differential Equations and Dynamical Systems