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
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