Heights on curves and limits of Hodge structures
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- 10.48550/arXiv.2206.01220
- arXiv:
- arXiv:2206.01220
- Bibcode:
- 2022arXiv220601220B
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 11G50;
- 14D06;
- 14D07;
- 14G20;
- 14H15
- E-Print:
- 21 pages. Updated references and took referee comments into account. Final version