A geometric approach to large class groups: a survey

Jean Gillibert (1) , Aaron Levin (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Department of Mathematics [Lansing]

The purpose of this note is twofold. First, we survey results 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.

Domaines: Théorie des nombres [math.NT]

Jean Gillibert, Aaron Levin. A geometric approach to large class groups: a survey. International Conference on Class Groups of Number Fields & Related Topics, Sep 2017, Allahabad, India. ⟨hal-01735629⟩