In algebraic geometry, Leray's theorem relates abstract sheaf cohomology with Čech cohomology.
Let be a sheaf on a topological space and an open cover of If is acyclic on every finite intersection of elements of , then
where is the -th Čech cohomology group of with respect to the open cover
- Bonavero, Laurent. Cohomology of Line Bundles on Toric Varieties, Vanishing Theorems. Lectures 16-17 from "Summer School 2000: Geometry of Toric Varieties."
This article incorporates material from Leray's theorem on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.