Abstract
In this chapter we present the basic facts about algebraic curves (i.e. projective varieties of dimension 1) which will be needed for our study of elliptic curves. (Actually, since elliptic curves are curves of genus 1, one of our tasks will be to define the genus of a curve.) As in Chapter I, we give references for those proofs which are not included. There are many books where the reader can find more material on the subject of algebraic curves, for example [Har, Ch. IV], [Sha 2], [G–H, Ch. 2], [Wa].
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© 1986 Springer Science+Business Media New York
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Silverman, J.H. (1986). Algebraic Curves. In: The Arithmetic of Elliptic Curves. Graduate Texts in Mathematics, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1920-8_3
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DOI: https://doi.org/10.1007/978-1-4757-1920-8_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-1922-2
Online ISBN: 978-1-4757-1920-8
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