Heights on curves and limits of Hodge structures
Algebraic Geometry
2023-03-20 v2 Number Theory
Abstract
We exhibit a precise connection between N\'eron--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.
Keywords
Cite
@article{arxiv.2206.01220,
title = {Heights on curves and limits of Hodge structures},
author = {Spencer Bloch and Robin de Jong and Emre Can Sertöz},
journal= {arXiv preprint arXiv:2206.01220},
year = {2023}
}
Comments
21 pages. Updated references and took referee comments into account. Final version