Local heights on elliptic curves and intersection multiplicities

Details Local heights on elliptic curves and intersection multiplicities Local heights on elliptic curves and intersection multiplicities

2010-03-10

arxiv.org/abs/1003.2050v3

Mathematics

Number Theory

8 pages. Rewrote the proof of Theorem 1 using Lemmas 8 and 9. Fixed several typos and inaccuracies

Scientific paper

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.

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