Quasi-projective variety

Related lectures (31)

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

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

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

Explores projective algebraic sets, prime ideals, irreducible sets, cones, and Nullstellensatz theorem.

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

Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Explores the applications of Serre duality in Enriques-Severi-Zariski lemma, foliations, and Riemann-Roch theorem.

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

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.

Covers coordinate rings, closed embeddings, and operations on affine varieties.