Heights on curves and limits of Hodge structures
arXiv:2206.01220
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.
21 pages. Updated references and took referee comments into account. Final version