Exact Categories and Categories of Sheaves

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Home Questions Tags Users Unanswered. Equivalence of categories of vector bundles and locally free sheaves Ask Question. Asked 5 years, 7 months ago. Active 1 year, 3 months ago. Viewed 3k times. Irfan Kadikoylu Irfan Kadikoylu 5 5 silver badges 12 12 bronze badges. His exercise about vector bundles is just terrible.

That's a perfectly reasonable expectation; it just turns out to be false.

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Basic example: the ideal sheaf of a point on the line. Martin Brandenburg Martin Brandenburg k 14 14 gold badges silver badges bronze badges. Do you know a reference for vector bundles on schemes? You can just name the book where you learned what you have written above. Last question: Do you fix the open cover and the trivializations in your definition of vector bundle?

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Y. Varshavsky - Perverse equivariant sheaves on loop Lie algebras, and affine Springer theory

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Exact Categories and Categories of Sheaves Exact Categories and Categories of Sheaves
Exact Categories and Categories of Sheaves Exact Categories and Categories of Sheaves
Exact Categories and Categories of Sheaves Exact Categories and Categories of Sheaves
Exact Categories and Categories of Sheaves Exact Categories and Categories of Sheaves
Exact Categories and Categories of Sheaves Exact Categories and Categories of Sheaves

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