English

Pulling back torsion line bundles to ideal classes

Number Theory 2012-11-22 v2

Abstract

We prove results concerning the specialisation of torsion line bundles on a variety VV defined over Q\mathbb{Q} to ideal classes of number fields. This gives a new general technique for constructing and counting number fields with large class group.

Keywords

Cite

@article{arxiv.1109.3723,
  title  = {Pulling back torsion line bundles to ideal classes},
  author = {Jean Gillibert and Aaron Levin},
  journal= {arXiv preprint arXiv:1109.3723},
  year   = {2012}
}

Comments

16 pages, LaTeX. Minor modifications. Accepted for publication in Math. Research Letters

R2 v1 2026-06-21T19:06:16.866Z