Field of Rational FunctionsExplores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
Affine VarietiesIntroduces affine varieties and covers morphisms between them and their coordinate rings.
Modern Algebraic GeometryCovers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Algebraic Varieties and MorphismsIntroduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Morphisms and Local RingsExplores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.
