On Bezout’s Theorem

Abstract

The aim of the project is to understand Bezout’s Theorem for curves from algebraic and geometric point of view. The Theorem states that in complex projective plane, the number of points in which any two curves (with no common factors) intersect, counting with multiplicity, is the product of the degrees of the curves. We follow the proof given in the book “Algebraic Curves” by William Fulton. In the appendix, we have included solutions of few problems from the book. Basics of commutative algebra are learnt along with for understanding the subject.