Quasi-compactness of Néron models, and an application to torsion points

Author(s):
Holmes, D.S.T. (0000-0002-6081-2516)
Published
2017
Publication type
Article / Letter to editor

Abstract

We prove that Néron models of Jacobians of generically-smooth nodal curves over bases of arbitrary dimension are quasi-compact (hence of finite type) whenever they exist. We give a simple application to the orders of torsion subgroups of Jacobians over number fields.

Date issued
2017
Language
English
Publisher
Springer Verlag (Germany)
Is part of
Manuscripta Mathematica (2017), Vol. 153, no. 3-4, p. 323–330
hdl
1887/47721
doi
10.1007/s00229-016-0887-2