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.
- Pub Date:
- June 2022
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 21 pages. Updated references and took referee comments into account. Final version