Algebraic Geometry
Definition and Properties
Direct Image and Inverse Image
Tensor Product of Sheaves
Sheaf Hom
Global Sections Problem
Obstructions to Gluing
Definition for Open Covers
Computation in Simple Cases
Injective Resolutions
Right Derived Functors
Comparison with Čech Cohomology
Cohomology Computations
Serre Vanishing Theorem
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8. Introduction to Schemes
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10. Divisors and Line Bundles