Vanishing theorem

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