Algebraic geometry

Related lectures (31)

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

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

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

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

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

Explores the Albanese morphism of varieties with Kodaira dimension zero in positive characteristic.

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

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

Explores étale motivic cohomology and the Hodge conjecture with a focus on counter-examples.

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