Affine Varieties

Related lectures (31)

Page 3 of 4

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Covers commutative ring morphisms, subrings, and injective ring morphisms.

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Covers the definitions and properties of ringed spaces, including morphisms and examples of locally ringed spaces.

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

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

Covers the properties of the coordinate ring of a linearly reductive group.

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

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

Covers simplicial and cosimplicial objects in category theory with practical examples.