Quasi-coherent sheaves are a type of sheaf in algebraic geometry that arise from the study of schemes, particularly those that can be described locally by rings of functions. They generalize the notion of coherent sheaves by allowing for the inclusion of certain types of 'non-coherent' sections, making them essential for the study of morphisms and other constructs in topos theory. This concept connects to the way we understand structures on schemes and their corresponding category-theoretic properties.
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