nLab ind-scheme



An ind-scheme is an ind-object in the category of algebraic schemes. Various variants of ‘the’ category of formal schemes are proper subcategories of the category of ind-schemes. While many analytic varieties have a structure of algebraic varieties, and loops in a manifold or in an analytic variety can be treated via infinite-dimensional manifolds, their algebraic analogues are examples of ind-schemes.


Last revised on March 6, 2015 at 11:17:37. See the history of this page for a list of all contributions to it.