Bézout’s Theorem for Curves
نویسنده
چکیده
The goal of this paper is to prove Bézout’s Theorem for algebraic curves. Along the way, we introduce some basic notions in algebraic geometry such as affine and projective varieties and intersection numbers of algebraic curves. After proving Bézout’s Theorem, we investigate Max Noether’s Fundamental Theorem and construct the group law on a plane cubic which is the first step in studying the arithmetic of elliptic curves.
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