Field of Rational Functions

Related lectures (32)

Page 2 of 4

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

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

Introduces Lie algebras, vector spaces with a special bracket operation.

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

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

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

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

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

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.

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