Integral representations of p-class groups in \({\mathbb{Z}}_ p\)-extensions, semisimple differentials and Jacobians

DOI10.1007/BF01190213zbMath0689.12008OpenAlexW2051057996MaRDI QIDQ581591

Manohar L. Madan, Gabriel Daniel Villa-Salvador

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190213

zbMATH Keywords

integral representationsJacobian varietyalgebraic function fieldscyclotomic \({\mathbb Z}_ p\)-extensionscyclotomic \({\mathbb Z}_ p\)-number fieldsholomorphic semisimple differentialsnull class group

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

Related Items (3)

On the Galois module structure of semisimple holomorphic differentials ⋮ Galois modular representation of associated Jacobians in the tamely ramified cyclic case ⋮ Galois module structure of Jacobians in unramified extensions

Cites Work

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