locally free
A sheaf of -modules on a ringed space is called locally free if for each point , there is an open neighborhood (http://planetmath.org/Neighborhood) of such that is free (http://planetmath.org/FreeModule) as an -module, or equivalently, , the stalk of at , is free as a -module. If is of finite rank (http://planetmath.org/ModuleOfFiniteRank) , then is said to be of rank .
Title | locally free |
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Canonical name | LocallyFree |
Date of creation | 2013-03-22 13:52:31 |
Last modified on | 2013-03-22 13:52:31 |
Owner | mps (409) |
Last modified by | mps (409) |
Numerical id | 13 |
Author | mps (409) |
Entry type | Definition |
Classification | msc 14A99 |