Mathematical Research Letters

Volume 19 (2012)

Number 6

Pulling back torsion line bundles to ideal classes

Pages: 1171 – 1184



Jean Gillibert (Institut de Mathématiques de Bordeaux, Université Bordeaux 1, Talence, France)

Aaron Levin (Department of Mathematics, Michigan State University, East Lansing, Mich., U.S.A.)


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

Published 18 July 2013