Heights on curves and limits of Hodge structures

Author(s):
Bloch, S.; Jong, R.S. de (0000-0002-6264-9994); Sertöz, E.C. (0000-0001-7450-7494)
Published
2023
Publication type
Article / Letter to editor

Abstract

We exhibit a precise connection between Néron–Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singular quotient curves. Our approach suggests a new way to compute Beilinson–Bloch heights in higher dimensions.

Date issued
2023-05-02
Language
English
Publisher
Wiley
Is part of
Journal of the London Mathematical Society (2023), Vol. 108, no. 1, p. 340-361
hdl
1887/3677106
doi
10.1112/jlms.12747