Concept

Affine variety

Related lectures (31)

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

Explores the embedding of chi-varieties into vector spaces with linear actions.

Explores isotypic decomposition in finitely generated C-algebras and its implications, including G-stable ideals and linear projections.

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

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

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

Explores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.

Introduces the regular representation, a key tool for studying group actions on varieties.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

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