Affine Varieties

Related lectures (31)

Page 2 of 4

Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

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

Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.

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

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

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

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

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

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