A sheaf of modules is a fundamental concept in both algebraic geometry and sheaf theory, combining the ideas of sheaves and modules. Let's break this down: ### Sheaves A **sheaf** on a topological space \( X \) is a tool for systematically tracking local data attached to the open sets of \( X \).
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For a ringed space , a sheaf of -modules is a sheaf such that every is an -module and restriction maps preserve scalar multiplication.