Ideal class groups, Hilbert's irreducibility theorem, and integral points of bounded degree on curves

DOI10.5802/jtnb.598zbMath1216.11101OpenAlexW2170788603MaRDI QIDQ933205

Aaron Levin

Publication date: 21 July 2008

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2007__19_2_485_0

Mathematics Subject Classification ID

Other number fields (11R21) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09)

Related Items (7)

Hilbert’s Irreducibility Theorem andideal class groups of quadratic fields ⋮ Chevalley-Weil theorem and subgroups of class groups ⋮ A Geometric Approach to Large Class Groups: A Survey ⋮ Small Fields with Large Class Groups ⋮ Variations on a theme of Runge: effective determination of integral points on certain varieties ⋮ Elliptic surfaces over ℙ1 and large class groups of number fields ⋮ Galois covers of ℙ1 and number fields with large class groups

Cites Work

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• On the class number of imaginary quadratic number fields
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• A Class Rank Estimate for Algebraic Number Fields

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