Leray's theorem
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
References
- Bonavero, Laurent. Cohomology of Line Bundles on Toric Varieties, Vanishing Theorems. Lectures 16-17 from "Summer School 2000: Geometry of Toric Varieties."
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