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

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.

9 pages. Added missing assumption of properness to corollary 1.2. Comments very welcome