Projective Morphisms: Theory and Applications

Related lectures (31)

Page 3 of 4

Introduces ample invertible sheaves and their properties in algebraic geometry.

Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.

Explores modules, sub-modules, and morphisms in algebraic structures.

Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.

Covers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.

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

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

Covers free resolution of modules and projective modules in module theory.

Covers Cartier divisors, invertible sheaves, and their properties in algebraic geometry.

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