Finiteness of isomorphism classes of curves in positive characteristic with prescribed fundamental groups

DOI10.1090/S1056-3911-04-00376-5zbMath1100.14021OpenAlexW2057308077MaRDI QIDQ4659938

Akio Tamagawa

Publication date: 21 March 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1056-3911-04-00376-5

zbMATH Keywords

fundamental groupisomorphism classCurve

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15) Coverings of curves, fundamental group (14H30)

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Cites Work

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• Another proof of the existence of special divisors
• On Primes of Degree One in Function Fields
• Néron Models
• Variétés de Prym d'un revetement galoisien.
• Mapping-class-group action versus Galois action on profinite fundamental groups
• Relative log convergent cohomology and relative rigid cohomology II
• On $\psi$-invariant subvarieties of semiabelian varieties and the Manin-Mumford conjecture
• Sections des fibrés vectoriels sur une courbe
• On the varieties of special divisors on a curve.
• On the Existence of Special Divisors
• The Mordell-Lang conjecture for function fields
• The faithfulness of the monodromy representations associated with certain families of algebraic curves

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