A Geometric Approach to Large Class Groups: A Survey

Jean Gillibert () and Aaron Levin ()
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Jean Gillibert: CNRS UMR 5219, Institut de Mathématiques de Toulouse
Aaron Levin: Michigan State University, Department of Mathematics

A chapter in Class Groups of Number Fields and Related Topics, 2020, pp 1-15 from Springer

Abstract: Abstract The purpose of this note is twofold. First, we survey results from Levin (J Théor Nombres Bordeaux 19:485–499, 2007), Gillibert and Levin (Math Res Lett 19:1–14, 2012) and Bilu and Gillibert (Israel J Math, in press) on the construction of large class groups of number fields by specialization of finite covers of curves. Then we give examples of applications of these techniques.

Date: 2020
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DOI: 10.1007/978-981-15-1514-9_1

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