Genus formulas for abelian \(p\)-extensions

DOI10.1216/RMJ-2018-48-6-1905zbMath1464.11120MaRDI QIDQ1627598

Fausto Jarquin-Zarate, Martha Rzedowski-Calderón, Gabriel Daniel Villa-Salvador

Publication date: 30 November 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1543028444

zbMATH Keywords

function fieldsArtin-Schreier-Witt extensionsabelian \(p\)-extensionsKani's formula

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

• Elementary abelian \(p\)-extensions of algebraic function fields
• Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves

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