Elementary Algebraic Geometry
A coherent sheaf is a type of sheaf that behaves nicely with respect to the algebraic structure of a scheme, particularly in the context of the sheaf's ability to be represented by finitely generated modules over rings. This notion is crucial for understanding properties like the support of a sheaf and its relationships with morphisms in algebraic geometry. Coherent sheaves allow us to study varieties and schemes through algebraic means, providing a bridge between geometry and algebra.
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