On the Fontaine-Mazur conjecture for number fields and an analogue for function fields

DOI10.1006/jnth.1999.2434zbMath0997.11096OpenAlexW2106413905WikidataQ123251838 ScholiaQ123251838MaRDI QIDQ1970616

Joshua Brandon Holden

Publication date: 21 February 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2434

zbMATH Keywords

function fieldsfinite constant fieldinfinite unramified Galois extensionsconjecture of Fontaine-Mazurunramified \(l\)-adic analytic \(l\)-extensionunramified powerful pro-\(l\)-extension

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Iwasawa theory (11R23)

Related Items (5)

Notes on an analogue of the Fontaine-Mazur conjecture ⋮ Abelian varieties over finite fields with a specified characteristic polynomial modulo \(\ell\) ⋮ Comparison of algorithms to calculate quadratic irregularity of prime numbers ⋮ First-hit analysis of algorithms for computing quadratic irregularity ⋮ Finiteness conjectures for \({\mathbb F}_lT\)-analytic extensions of number fields

Uses Software

• PARI/GP

Cites Work

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