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arXiv:1003.2050 [math.NT]AbstractReferencesReviewsResources

Local heights on elliptic curves and intersection multiplicities

Vincenz Busch, Jan Steffen Müller

Published 2010-03-10, updated 2012-01-11Version 3

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.

Comments: 8 pages. Rewrote the proof of Theorem 1 using Lemmas 8 and 9. Fixed several typos and inaccuracies
Journal: Int. J. Number Theory 8, 1477-1484 (2012)
Categories: math.NT, math.AG
Subjects: 11G50, 11G40, 14G40
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