Locally acyclic morphism
In algebraic geometry, a morphism of schemes is said to be locally acyclic if, roughly, any sheaf on S and its restriction to X through f have the same étale cohomology, locally. For example, a smooth morphism is universally locally acyclic.
References
- Milne, J. S. (1980), Étale cohomology, Princeton Mathematical Series 33, Princeton, N.J.: Princeton University Press.
This article is issued from Wikipedia - version of the Monday, January 26, 2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.