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geometry > algebraic geometry > sheaf > sheaf cohomology
topology > algebraic topology > sheaf > sheaf cohomology
geometry > differential geometry > sheaf > sheaf cohomology
topology > algebraic topology > cohomology > sheaf cohomology

Preferred term

sheaf cohomology  

Definition(s)

  • In mathematics, sheaf cohomology is the application of homological algebra to analyze the global sections of a sheaf on a topological space. Broadly speaking, sheaf cohomology describes the obstructions to solving a geometric problem globally when it can be solved locally. The central work for the study of sheaf cohomology is Grothendieck's 1957 Tôhoku paper.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sheaf_cohomology)

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http://data.loterre.fr/ark:/67375/PSR-N6MCFW93-W

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