Class fields, Dirichlet characters, and extended genus fields of global function fields

DOI10.1002/mana.202100570arXiv2108.08337WikidataQ123161512 ScholiaQ123161512MaRDI QIDQ6074628

Gabriel Daniel Villa-Salvador, Martha Rzedowski-Calderón

Publication date: 12 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.08337

zbMATH Keywords

global fieldsDirichlet charactersclass fieldsgenus fieldsextended genus 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)

Cites Work

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• Genus fields of congruence function fields
• The genus field of an algebraic function field
• Genus theory of global fields
• Genus fields of abelian extensions of rational congruence function fields. II
• Zur Geschlechtertheorie in quadratischen Zahlkörpern
• Explicit Class Field Theory for Rational Function Fields
• Class Field Theory
• Genus fields of global fields
• The Genus Field and Genus Number in Algebraic Number Fields
• The genus field and genus group in finite number fields
• Zur Geschlechtertheorie in abelschen Zahlkörpern

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