Genus fields of Kummer extensions of rational function fields

DOI10.1016/j.ffa.2021.101943OpenAlexW3210631153MaRDI QIDQ2667080

Gabriel Daniel Villa-Salvador, Martha Rzedowski-Calderón

Publication date: 23 November 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06627

zbMATH Keywords

Kummer extensionsglobal fieldscyclic extensionsgenus fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Function field genus theory for non-Kummer extensions

Cites Work

• Genus fields of congruence function fields
• The genus fields of Artin-Schreier extensions
• Genus fields of abelian extensions of rational congruence function fields. II
• The genus fields of Kummer function fields.
• GENUS FIELDS OF CYCLIC l-EXTENSIONS OF RATIONAL FUNCTION FIELDS
• Genus fields of Kummer ℓn-cyclic extensions
• Zur Geschlechtertheorie in abelschen Zahlkörpern
• Unnamed Item

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