Abelian $p$-extensions and additive polynomials
Jonny Fernando Barreto-Casta\~neda, Fausto Jarqu\'in-Z\'arate, Martha, Rzedowski-Calder\'on, Gabriel Villa-Salvador
TL;DR
This paper investigates the arithmetic properties of abelian p-extensions over global function fields, focusing on their generators, ramification, and decomposition behaviors.
Contribution
It provides new insights into the structure and properties of abelian p-extensions, including explicit descriptions of generators and ramification types.
Findings
Characterization of generators of abelian p-extensions
Analysis of ramification and decomposition in these extensions
Identification of specific arithmetic properties
Abstract
In this work we present some arithmetic properties of families of abelian --extensions of global function fields, among which are their generators and their type of ramification and decomposition.
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