Ind scheme - Alchetron, The Free Social 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

C P ∞ = lim → ⁡ C P N 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.)

References

Ind-scheme Wikipedia

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