Über Pro-p-Fundamentalgruppen markierter arithmetischer Kurven

DOI10.1515/CRELLE.2010.025zbMath1193.14041arXiv0806.1863OpenAlexW2962977229MaRDI QIDQ3553936

Alexander Schmidt

Publication date: 22 April 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.1863

zbMATH Keywords

Galois grouparithmetic curve\(p\)-extensionpro-\(p\)-fundamental group

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (13)

Toward good families of codes from towers of surfaces ⋮ Densities of primes and realization of local extensions ⋮ The cohomology of canonical quotients of free groups and Lyndon words ⋮ On the propagation of the mild property over a quadratic imaginary extension of \(\mathbb {Q}\) ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ A note on asymptotically good extensions in which infinitely many primes split completely ⋮ Mild pro-2-groups and 2-extensions of \(\mathbb Q\) with restricted ramification ⋮ Higher Massey products in the cohomology of mild pro-\(p\)-groups. ⋮ The Kummerian property and maximal pro-\(p\) Galois groups ⋮ Aspherical neighborhoods on arithmetic surfaces: the local case ⋮ On the quotients of the maximal unramified 2-extension of a number field ⋮ Rédei symbols and arithmetical mild pro-2-groups ⋮ Some effective results on the Tsfasman-Vlăduţ invariants

Cites Work

• How many primes decompose completely in an infinite unramified Galois extension of a global field?
• Algèbres de Lie et pro-p-groupes définis par une seule relation

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