Scheme theory allows one to use sheaf theory to study algebraic varieties in a way which is very similar to its use in the study of differential and analytic manifolds. A scheme can be expressed in terms of a sheaf of rings on the space.
Conditions: The context is algebraic geometry.; A scheme is expressed in terms of a sheaf of rings on the space.
Scheme theory allows one to use sheaf theory to study algebraic varieties in a way which is very similar to its use in the study of differential and analytic manifolds. A scheme can be expressed in terms of a sheaf of rings on the space.
Conditions: The context is algebraic geometry.; A scheme is expressed in terms of a sheaf of rings on the space.