Morphism of algebraic varieties

Related lectures (31)

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

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

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

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

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

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

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

Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.

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

Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.