Chevalley-Weil theorem and subgroups of class groups

DOI10.1007/s11856-018-1718-9zbMath1411.11108arXiv1606.03128OpenAlexW2963427825WikidataQ129728139 ScholiaQ129728139MaRDI QIDQ1659553

Yuri F. Bilu, Jean Gillibert

Publication date: 22 August 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03128

zbMATH Keywords

Chevalley-Weil theoremHilbert's irreducibility theoremclass groups of number fieldsspecializationsétale cover

Mathematics Subject Classification ID

Rational points (14G05) Coverings of curves, fundamental group (14H30) Class numbers, class groups, discriminants (11R29)

Related Items (11)

Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields ⋮ Unramified Heisenberg group extensions of number fields ⋮ Rank gain of Jacobians over number field extensions with prescribed Galois groups ⋮ Counting number fields in fibers (with an appendix by Jean Gillibert) ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ Small Fields with Large Class Groups ⋮ An explicit family of cubic number fields with large 2-rank of the class group ⋮ On number fields with power-free discriminant ⋮ Elliptic surfaces over ℙ1 and large class groups of number fields ⋮ Unramified extensions over low degree number fields ⋮ Galois covers of ℙ1 and number fields with large class groups

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• Pulling back torsion line bundles to ideal classes
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• Counting number fields in fibers (with an appendix by Jean Gillibert)
• Quantitative Chevalley-Weil theorem for curves
• REMARKS ON EISENSTEIN
• Heights in number fields
• On the number of integral points on algebraic curves
• Divisibility of Class Numbers: Enumerative Approach
• Selmer groups as flat cohomology groups
• On a Principle of Lipschitz

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