The Automorphism Group of a Function Field

DOI10.2307/2159335zbMath0791.14011OpenAlexW4242430223MaRDI QIDQ4018795

Manohar L. Madan, Michael I. Rosen

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2159335

zbMATH Keywords

inverse Galois problemgenusGalois extension of function fieldmock covers of curvesRiemann- Hurwitz formula

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Birational automorphisms, Cremona group and generalizations (14E07) Inverse Galois theory (12F12) Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05) Curves in algebraic geometry (14H99)

Related Items (4)

Étale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture ⋮ On algebraic curves with many automorphisms in characteristic \(p\) ⋮ On a variant of the Beckmann–Black problem ⋮ FINITE GROUPS AS GALOIS GROUPS OF FUNCTION FIELDS WITH INFINITE FIELD OF CONSTANTS

Cites Work

• Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper
• Mock covers and Galois extensions
• Automorphism groups of algebraic function fields
• Fundamentalgruppen algebraischer Mannigfaltigkeiten. (Fundamental groups of algebraic varieties)
• Algebraic function fields with solvable automorphism group in characteristic p
• Die Ungleichung von Castelnuovo.
• Deformation Theory and the Tame Fundamental Group
• The group of automorphisms of algebraic function fields.
• Formal Patching and Adding Branch Points
• Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteristik.

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