KnowraSheaf cohomologyLinked fromLinked fromThe 9 pages that link to Sheaf cohomology, each with the reason it gives.All 9Broader topic 1Related 6Narrower topic 2Homological algebraRelated: Derived functors of global sections make sheaf cohomology a geometric application of the subject.Partition of unityRelated: Partitions of unity can force higher cohomology to vanish for sheaves of smooth modules.CohomologyBroader topic: It measures the failure of local data to assemble into global sections.Henri CartanRelated: Cartan helped develop sheaf methods that connected complex analysis with topology.Hirzebruch–Riemann–Roch theoremRelated: The Euler characteristic is formed from these cohomology groups.Cousin problemsNarrower topic: Cousin I and II become vanishing questions for first cohomology groups.Kunihiko KodairaRelated: Sheaf cohomology supplied the language for his vanishing and classification results.Riemann–Roch theorem for surfacesRelated: Its dimensions form the alternating sum evaluated by the theorem.Behnke–Stein theoremNarrower topic: Vanishing theorems for coherent sheaves provide a cohomological route to Stein properties.