Homogeneous Ideals and Regular Rings

Related lectures (31)

Page 3 of 4

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Covers the Weil conjectures on rationality, functional equation, and the Riemann hypothesis, exploring properties of varieties in algebraic geometry.

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

Explores operations on ideals and structure theorems in commutative rings.

Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.

Covers the concept of ideals in commutative rings and their role in ring homomorphisms.

Covers regularity and integrality in local Noether rings and affine rings.

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.

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

Explores singular points, the group law, and the ambiguity in defining the sum of a point with itself on elliptic curves.