#theorem_on_formal_functions
Theorem on formal functions
In algebraic geometry, the theorem on formal functions states the following:Let be a proper morphism of noetherian schemes with a coherent sheaf on X. Let be a closed subscheme of S defined by and formal completions with respect to and . Then for each the canonical (continuous) map: is an isomorphism of (topological) -modules, where The left term is . The canonical map is one obtained by passage to limit.
Fri 29th
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