#algebraic-geometry

14. Algebraic Geometry

This volume studies geometric objects defined by polynomial equations. It connects commutative algebra, geometry, and number theory through the language of varieties and schemes. Part I. Affine Algebraic Geometry Chapter 1. Affine Varieties 1.1 Polynomial rings and ideals 1.2 Zero sets of polynomials 1.3 Affine space 1.4 Zariski topology 1.5 Examples Chapter 2. Coordinate Rings 2.1 Functions on varieties 2.2 Radical ideals 2.3 Nullstellensatz 2.4 Correspondence between ideals and varieties...