Galois covers of ℙ1 and number fields with large class groups

DOI10.1142/S1793042122500646zbMath1502.11112arXiv2005.10920OpenAlexW4200612516WikidataQ114071833 ScholiaQ114071833MaRDI QIDQ5865461

Jean Gillibert, Pierre Gillibert

Publication date: 9 June 2022

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

Full work available at URL: https://arxiv.org/abs/2005.10920

zbMATH Keywords

Picard groupsideal class groupscyclic fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Uses Software

• PARI/GP

Cites Work

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• Pulling back torsion line bundles to ideal classes
• On ideal class groups of algebraic number fields
• Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves
• Chevalley-Weil theorem and subgroups of class groups
• Real quadratic fields with class numbers divisible by \(n\)
• Ramification and class towers of number fields
• On unramified Galois extensions of quadratic number fields
• On the divisibility of the class number of quadratic fields
• Finite subgroups of PGL(2,K)
• A Geometric Approach to Large Class Groups: A Survey
• On ideal groups of algebraic number fields.
• Ideal class groups of cubic cyclic fields
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• The Simplest Cubic Fields
• Brauer's class number relation
• On the number of integral points on algebraic curves
• Diversity in Parametric Families of Number Fields
• On the splitting of the Kummer exact sequence
• A Class Rank Estimate for Algebraic Number Fields

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