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 .
|Date of creation||2013-03-22 13:52:31|
|Last modified on||2013-03-22 13:52:31|
|Last modified by||mps (409)|