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

• Andreotti–Grauert vanishing theorem

• Bogomolov–Sommese vanishing theorem

• Grauert–Riemenschneider vanishing theorem

• Kawamata–Viehweg vanishing theorem

• Kodaira vanishing theorem

• Le Potier's vanishing theorem

• Mumford vanishing theorem

• Nakano vanishing theorem

• Ramanujam vanishing theorem

• Serre's vanishing theorem

• Nadel vanishing theorem