Cartier Divisors and Invertible Sheaves

Redly Constructed Morphisms

Explores the construction and properties of morphisms, focusing on effective divisors, isomorphism of semi-groups, and the relationship between sheaves and factorial spaces.

Ample Invertible Sheaves

Introduces ample invertible sheaves and their properties in algebraic geometry.

Coherent Sheaves: Locally Ringed Space

Covers the definition of coherent sheaves and their properties in the context of algebraic geometry.

Vector Bundles & Locally Free Sheaves

Covers vector bundles, locally free sheaves, depth, Serre twisting sheaf, and graded modules in algebraic geometry.

Algebraic Geometry: Regularity and Divisors

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