Cohomology of Quasi-Coherent on Affine Schemes

Related lectures (32)

Page 2 of 4

Covers cohomology, injective resolutions, and acyclic objects in an abelian category.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Covers the sheafification process of presheaves, emphasizing injectivity and surjectivity.

Covers sheafification, adjoint functors, and challenges in ensuring sheaf properties.

Introduces ample invertible sheaves and their properties in algebraic geometry.

Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.

Covers the homology of projective space, focusing on cohomology and exact sequences.

Explores the cross product in cohomology, covering its properties and applications in homotopy.

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.