A global section of a sheaf of modules F is an element of Γ(X,F), meaning a section defined over the whole space X.
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- Global section functor
- Sheaf of modules
- Ringed space
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- Affine module sheaf
- Affine principal neighbourhoods from ideal-sheaf vanishing
- Affine scheme reconstruction from global sections
- Affine-target adjunction for schemes
- Coherence of an affine module sheaf
- Cohomological criterion for affineness
- Cokernel sheaf
- Divisor sheaf on a complex manifold
- Dolbeault theorem
- Effective Cartier divisor
- Failure of ordinary sheaf-dual Serre duality for a skyscraper sheaf
- Finite global generation on a quasi-compact scheme
- First-order embedded deformation
- Genus bound for a nonplanar degree-five curve
- Globally generated line bundle
- Globally generated line bundle without finite generators
- Globally generated sheaf
- Globally generated vector bundle
- Global regular function
- Godement resolution
- Hypercohomology
- Infinite negative-twist sum with zero global sections
- Injective resolution of sheaves
- Internal Hom sheaf
- Kernels of quasi-coherent sheaf morphisms
- Linear equivalence of Cartier divisors
- Localization of global sections on a principal open
- Nonaffineness of a punctured affine plane
- Normal sheaf
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- Picard scheme of a curve
- Restriction ampleness implies semiampleness for an effective divisor
- Restriction of the theta divisor to an Abel curve
- Riemann singularity theorem
- Sheaf cohomology under a closed inclusion
- Skyscraper sheaf cohomology
- Surjective morphism of sheaves
- Theta divisor
- Unit-ideal certificate from a principal affine cover
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