Work

A Note on Extended Genus Fields of Kummer Extensions of Global Rational Function Fields

Year: 2024

Type: article

Abstract: We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a global rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in general.

Source: Axioms

DOI: 10.3390/axioms13110734

Authors: Martha Rzedowski-Calderón, Gabriel Villa-Salvador

Institutions: Instituto Politécnico Nacional, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4403735984

FWCI:

Cites: 6

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Related to: 10