Invertible sheaf

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Related lectures (13)

Cartier Divisors and Invertible Sheaves

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

Ample Invertible Sheaves

Introduces ample invertible sheaves and their properties in algebraic geometry.

Vector Bundles & Locally Free Sheaves

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

Sheaves and Modules

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

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.

Sheaves: Hartshorne I.1

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.

Sheafification: Natural Procedure and Adjoints

Covers sheafification, adjoint functors, and challenges in ensuring sheaf properties.

Primary Decomposition: Behaviour and Localisation

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

Ringed Spaces: Definitions and Properties

Covers the definitions and properties of ringed spaces, including morphisms and examples of locally ringed spaces.

Coherent Sheaves: Locally Ringed Space

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

Characteristic Polynomials and Similar Matrices

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Regular Functions on Quasi-Affine Varieties

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

Matrix Similarity and Diagonalization

Explores matrix similarity, eigenvalues, and diagonalization in linear algebra.

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