Local heights on elliptic curves and intersection multiplicities
Number Theory
2014-01-28 v3 Algebraic Geometry
Abstract
In this short note we prove a formula for local heights on elliptic curves over number fields in terms of intersection theory on a regular model over the ring of integers.
Cite
@article{arxiv.1003.2050,
title = {Local heights on elliptic curves and intersection multiplicities},
author = {Vincenz Busch and Jan Steffen Müller},
journal= {arXiv preprint arXiv:1003.2050},
year = {2014}
}
Comments
8 pages. Rewrote the proof of Theorem 1 using Lemmas 8 and 9. Fixed several typos and inaccuracies