Abstract
The canonical height function
is a quadratic form whose value at a point P measures the arithmetic complexity of P. The importance of the canonical height stems from the fact that it relates the geometrically defined group law to the arithmetic properties of the algebraic points on E. See [AEC VIII, ยง91 for details].
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ยฉ 1994 Springer Science+Business Media New York
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Silverman, J.H. (1994). Local Height Functions. In: Advanced Topics in the Arithmetic of Elliptic Curves. Graduate Texts in Mathematics, vol 151. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0851-8_7
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DOI: https://doi.org/10.1007/978-1-4612-0851-8_7
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