In algebraic geometry, a vanishing theorem gives conditions for coherent cohomology groups to vanish.

Andreotti–Grauert vanishing theorem

Grauert–Riemenschneider vanishing theorem

Kawamata–Viehweg vanishing theorem

Kodaira vanishing theorem

Mumford vanishing theorem

Ramanujam vanishing theorem

Nadel vanishing theorem

Fujita vanishing theorem

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

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