Néron models of jacobians over base schemes of dimension greater than 1

Author(s):
Holmes, D.S.T. (0000-0002-6081-2516)
Published
2016
Publication type
Article / Letter to editor

Abstract

We investigate to what extent the theory of Néron models of jacobians and of abel–jacobi maps extends to relative curves over base schemes of dimension greater than 1. We give a necessary and sufficient criterion for the existence of a Néron model. We use this to show that, in general, Néron models do not exist even after making a modification or even alteration of the base. On the other hand, we show that Néron models do exist outside some codimension-2 locus.

Date issued
2016-06-16
Language
English
Is part of
Journal für die reine und angewandte Mathematik (2016), Vol. 2019, no. 747, p. 109-145
hdl
1887/79387
doi
10.1515/crelle-2016-0014