Difference between revisions of "Stack"
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* ''[http://www.ams.org/notices/200304/what-is.pdf What is... a Stack?]'' | * ''[http://www.ams.org/notices/200304/what-is.pdf What is... a Stack?]'' | ||
| − | [[Category: | + | [[Category:Geometry]] |
[[Category:Algebra]] | [[Category:Algebra]] | ||
Revision as of 08:49, April 2, 2007
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.