Ideal sheaf

The concept of an ideal sheaf arises in the context of algebraic geometry and sheaf theory. It is a type of sheaf that encodes algebraic information about functions or sections vanishing on certain subvarieties. ### Definition An **ideal sheaf** on a topological space (or more generally, on a scheme) is, intuitively speaking, a sheaf of ideals in a sheaf of regular functions (or a sheaf of rings) on that space.