Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Introduces affine varieties and covers morphisms between them and their coordinate rings.
Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Explores the construction and properties of morphisms, focusing on effective divisors, isomorphism of semi-groups, and the relationship between sheaves and factorial spaces.
Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
