# Locally free sheaf

Jump to navigation
Jump to search

In sheaf theory, a field of mathematics, a sheaf of -modules on a ringed space is called *locally free* if for each point , there is an open neighborhood of such that is free as an -module. This implies that , the stalk of at , is free as a -module for all . The converse is true if is moreover coherent. If is of finite rank for every , then is said to be of rank

## See also

## References

- Sections 0.5.3 and 0.5.4 of Template:EGA

## External links

*This article incorporates material from Locally free on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.*