Algebraic Varieties and Morphisms

Related lectures (31)

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

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

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

Covers invariants and dimensions of projective varieties, emphasizing their importance.

Covers the GAGA principle, stating that any morphism on projective varieties is constant.

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

Covers regular and smooth projective varieties, hypersurfaces, and algebraic dimensions.

Explores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.

Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.

Explores regular functions on quasi-affine varieties, defining morphisms, local rings, and rational functions.