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.
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.)
- A. Beilinson, Vladimir Drinfel'd, Quantization of Hitchin’s integrable system and Hecke eigensheaves on Hitchin system, preliminary version
[1]
- V.Drinfeld, Infinite-dimensional vector bundles in algebraic geometry, notes of the talk at the `Unity of Mathematics' conference.
Expanded version
-
http://ncatlab.org/nlab/show/ind-scheme