The fundamental topic of algebraic geometry is the study of systems of polynomial equation in several variables. In the end we would like to study polynomial equations with coefficients in an arbitrary ring but as a motivation and a guide line we will assume in this chapter that our ring of coefficients is an algebraically closed field k. In this case the theory has a particularly nice geometric flavor.
KeywordsOpen Subset Topological Space Projective Space Prime Ideal Closed Subset
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