On the Fundamental Group of a Smooth Arithmetic Surface

DOI10.1002/mana.19921590103zbMath0793.14008OpenAlexW2059521454MaRDI QIDQ4696750

Kay Wingberg, Alexander Schmidt

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1002/mana.19921590103

zbMATH Keywords

dualizing modulePoincaré groupduality properties of the maximal pro-\(l\) factor of the arithmetic fundamental group

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Coverings of curves, fundamental group (14H30) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Homotopy theory and fundamental groups in algebraic geometry (14F35) Global ground fields in algebraic geometry (14G25)

Related Items (3)

The Galois action and cohomology of a relative homology group of Fermat curves ⋮ Cohomology groups of Fermat curves via ray class fields of cyclotomic fields ⋮ Unnamed Item

Cites Work

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• Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlkörperfall
• Profinite duality groups. I
• Galois groups of extensions of algebraic number fields with given ramification
• Galois cohomology in unramified extensions of algebraic function fields
• On Galois groups of p-closed algebraic number fields with restricted ramification.
• On Galois groups of p-closed algebraic number fields with restricted ramification II.
• On Poincaré Groups
• Cohomology of Group Extensions

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