Leray's theorem
From Wikipedia, the free encyclopedia
In algebraic geometry, Leray's theorem relates abstract sheaf cohomology with Cech cohomology.
Let 
be a sheaf on a topological space X and 
a countable cover of X. If is acyclic on every finite intersection of elements of 
, then
where 
is the q-th Cech cohomology group of with respect to the open cover 
[edit] References
- Bonavero, Laurent. Cohomology of Line Bundles on Toric Varieties, Vanishing Theorems. Lectures 16-17 from "Summer School 2000: Geometry of Toric Varieties."
[edit] See also
This article incorporates material from Leray's theorem on PlanetMath, which is licensed under the GFDL.
