Stack
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This is the current revision of Stack as edited by Chippeterson (Talk | contribs) at 23:51, June 22, 2010. This URL is a permanent link to this version of this page.
Stack is a concept introduced in algebraic geometry to generalize algebraic varieties and schemes. They were originally proposed by David Mumford on the compactifications of moduli of curves; such stack is now called a Deligne-Mumford stack. They were later generalized by Michael Artin to Artin stacks, or sometimes also called algebraic stacks. More generally a stack is a category acting like a moduli space with a universal family parametrizing a family of mathematical objects such as schemes or topological spaces.
