Affine varieties: additional observations

Related lectures (31)

Page 3 of 4

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

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

Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.

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

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

Covers linear algebraic groups, including special sets and matrix examples.

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

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

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.