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arxiv: 1003.2050 · v3 · pith:4LUOOKKLnew · submitted 2010-03-10 · 🧮 math.NT · math.AG

Local heights on elliptic curves and intersection multiplicities

classification 🧮 math.NT math.AG
keywords curvesellipticheightsintersectionlocalfieldsformulaintegers
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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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