Counting number fields in fibers (with an appendix by Jean Gillibert)

DOI10.1007/s00209-017-1900-5zbMath1411.11101OpenAlexW2712294705MaRDI QIDQ1706105

Yuri F. Bilu

Publication date: 21 March 2018

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

Full work available at URL: http://hdl.handle.net/21.11116/0000-0004-062D-4

zbMATH Keywords

algebraic curveheight functionHilbert irreducibility theorem

Mathematics Subject Classification ID

Other number fields (11R21) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Chevalley-Weil theorem and subgroups of class groups, Hilbert irreducibility, the Malle conjecture and the Grunwald problem, Diversity in rationally parameterized number fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chevalley-Weil theorem and subgroups of class groups
• The tame fundamental groups of a formal neighbourhood of a divisor with normal crossings on a scheme
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• Inertia groups and fibers
• Diversity in Parametric Families of Number Fields
• Divisibility of Class Numbers: Enumerative Approach
• Polynomials of certain special types
• On extensions of number fields obtained by specializing branched coverings.