The geometry of the moduli space of non-cyclic biquadratic field extensions

DOI10.2989/16073606.2021.1951391OpenAlexW3093223170MaRDI QIDQ5054717

Mpendulo Cele, Sophie Marques

Publication date: 29 November 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06500

zbMATH Keywords

radicalGaloiselementary abelianbiquadratic

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05) Actions of groups on commutative rings; invariant theory (13A50) Polynomials (irreducibility, etc.) (11R09) Fine and coarse moduli spaces (14D22)

Cites Work

• Generic polynomials for cyclic function field extensions over certain finite fields
• Galois theory.
• Quartic fields and radical extensions.
• Cubic fields: a primer
• An explicit triangular integral basis for any separable cubic extension of a function field
• A complete study of the ramification for any separable cubic global function field
• An Elementary Test for the Galois Group of a Quartic Polynomial
• An Explicit Treatment of Cubic Function Fields with Applications
• Cubic function fields with prescribed ramification

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