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Ind-scheme

From Wikipedia, the free encyclopedia

In algebraic geometry, an ind-scheme is a set-valued functor that can be written (represented) as a direct limit (i.e., inductive limit) of closed embedding of schemes.

Examples

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  • is an ind-scheme.
  • Perhaps the most famous example of an ind-scheme is an infinite grassmannian (which is a quotient of the loop group of an algebraic group G.)

See also

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References

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