algebraic geometry stack

Input interpretation

algebraic geometry stack

Definition

In the algebraic geometry of Grothendieck, a stack refers to a sheaf of categories. In particular, a stack is a presheaf of categories in which the following descent properties are satisfied: 
1.

Related terms

category | category theory | commutative diagram | functor | homeomorphism | isomorphism | list | pop | presheaf | presheaf of categories | push | queue | reverse Polish notation | sheaf | stack | topological space

Subject classifications

MathWorld

general algebraic geometry | category theory

MSC 2010

14-XX | 18-XX