Abstract
As its title indicates, this last chapter provides some complements which could be considered as an introduction to the arithmetic theory of elliptic curves. In particular, the first two sections deal with properties of elliptic curves in characteristic p ≠ 0 (or defined over finite fields) which have no conter-part in characteristic 0. Then the last section gives the first elementary results on the reduction mod p theory which associates to an elliptic curve over ℚ a family of elliptic curves over finite fields. As usual, I have not been able to refrain from mentioning some more advanced results (without proof) and some standard open conjectures.
The online version of the original chapter can be found at http://dx.doi.org/10.1007/978-3-540-46916-2_4
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(1973). Complements. In: Elliptic Curves. Lecture Notes in Mathematics, vol 326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46916-2_8
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DOI: https://doi.org/10.1007/978-3-540-46916-2_8
Publisher Name: Springer, Berlin, Heidelberg
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