Definitions
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What is a presheaf?
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What is a sheaf?
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What is the equalizer characterization of a sheaf?
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What is the sheafification of a presheaf?
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What is a morphism of presheaves? Of sheaves?
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What is a germ?
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What is the stalk of a sheaf?
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Some sheafy constructions:
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What is the kernel sheaf?
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What is the image sheaf?
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What is the cokernel sheaf?
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What is the pullback/pushforward of a sheaf?
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Some special sheaves:
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What is the structure sheaf of a scheme?
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What is a constant sheaf?
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What is the skyscraper sheaf?
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What is the canonical sheaf?
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What is the dualizing sheaf?
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What is the ideal sheaf?
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What is a local system?
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What is an invertible sheaf?
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What is a constructible sheaf?
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What is a locally free sheaf?
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What is a quasicoherent sheaf?
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What is a coherent sheaf?
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What is the sheaf of rational functions on a scheme?
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What is the tangent sheaf?
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What is the sheaf of relative differentials?
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What does it mean to twist a sheaf?
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What is the six functor formalism?
Results
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What’s special about a very ample invertible sheaf?