Quasi-compactness of N\'eron models, and an application to torsion points
Algebraic Geometry
2016-04-08 v2 Number Theory
Abstract
We prove that N\'eron 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.
Cite
@article{arxiv.1604.01155,
title = {Quasi-compactness of N\'eron models, and an application to torsion points},
author = {David Holmes},
journal= {arXiv preprint arXiv:1604.01155},
year = {2016}
}
Comments
9 pages. Added missing assumption of properness to corollary 1.2. Comments very welcome