Morphisms and Local Rings

Related lectures (31)

Page 1 of 4

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

Covers the definitions and properties of projective algebraic sets and their applications in algebraic geometry.

Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.

Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.

Introduces affine varieties and covers morphisms between them and their coordinate rings.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.

Explores projective morphisms, graded modules, and their applications in algebraic geometry, emphasizing their properties and construction.

Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.

Presents a proof that smooth projective varieties with nef anti-canonical divisor have surjective Albanese morphism.