Sheaf cohomology is a mathematical tool used to study the global properties of sheaves, which are data assignments to open sets of a topological space, often capturing local information that can be extended globally. It connects the concepts of topology and algebra by allowing for the computation of derived functors, particularly in understanding how local sections of sheaves can be patched together to yield global sections. This method is essential in various fields, including algebraic geometry, where it helps analyze the properties of varieties and their associated sheaves.
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