Sheaf cohomology

Layer 0 — Mathematicsin the algebraic-geometry subtree

Derived functors Hⁱ(X, 𝓕) of global sections; measures obstructions to extending local → global. Čech + Grothendieck resolutions; Serre vanishing theorem.

Related concepts

Scheme
Étale cohomology
Topos
Serre duality
Hirzebruch-Riemann-Roch
Hodge theory (algebraic)
GAGA (Serre)
Derived category D(𝒜)
Mirror symmetry Hodge-diamond swap (string-theory duality)

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