Class group rank relations in \(Z_p\)-extensions

DOI10.1007/BF01165930zbMath0516.12012OpenAlexW2031280932MaRDI QIDQ1052400

Manohar L. Madan, Joseph G. D'Mello

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154912

zbMATH Keywords

Deuring type formulal-rank of divisor class group of algebraic number fieldp-rank of class group of algebraic function fieldrank of Hasse-Witt matricesZl-extension

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Coverings of curves, fundamental group (14H30) Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

Structure of semisimple differentials and p-class groups in \({\mathbb{Z}}_ p\)-extensions ⋮ On an analogue of a conjecture of Gross ⋮ On geometric \({\mathbb{Z}}_ p\)-extensions of function fields ⋮ Iwasawa invariants ⋮ Divisorklassen der Ordnung \(\ell\) bei Kongruenzfunktionenkörpern

Cites Work

• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Cyclotomic Z//2-extensions of J-fields
• On a theorem of M. Deuring and I. R. Šafarevič
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