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arXiv · 1604.01155

Quasi-compactness of N\'eron models, and an application to torsion points

David Holmes
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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.

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David Holmes. 2016-04-05. Quasi-compactness of N\'eron models, and an application to torsion points. https://arxiv.org/abs/1604.01155

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