On the action of the Frobenius automorphism on the pro-\(\ell\) fundamental group

DOI10.1007/BF01160206zbMath0629.12015MaRDI QIDQ1093679

Mamoru Asada

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/173947

zbMATH Keywords

absolute Galois groupFrobenius automorphismrational function fieldmaximum pro-\(\ell \) extensionpro-\(\ell \) fundamental group

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Finite ground fields in algebraic geometry (14G15) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Hasse–Witt and Cartier–Manin matrices: A warning and a request

Cites Work

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• Profinite braid groups, Galois representations and complex multiplications
• On conjugacy classes of the pro-\(\ell\) braid group of degree 2
• Endomorphisms of Abelian varieties over finite fields
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper

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