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A Geometric Approach to Large Class Groups: A Survey

In: Class Groups of Number Fields and Related Topics

Author

Listed:
  • Jean Gillibert

    (CNRS UMR 5219, Institut de Mathématiques de Toulouse)

  • Aaron Levin

    (Michigan State University, Department of Mathematics)

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.

Suggested Citation

  • Jean Gillibert & Aaron Levin, 2020. "A Geometric Approach to Large Class Groups: A Survey," Springer Books, in: Kalyan Chakraborty & Azizul Hoque & Prem Prakash Pandey (ed.), Class Groups of Number Fields and Related Topics, pages 1-15, Springer.
  • Handle: RePEc:spr:sprchp:978-981-15-1514-9_1
    DOI: 10.1007/978-981-15-1514-9_1
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