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
• Kollár vanishing theorem
• Kodaira vanishing theorem
• Miyaoka vanishing theorem
• Mumford vanishing theorem
• Ramanujam vanishing theorem

References

• Esnault, Hélène; Viehweg, Eckart (1992), Lectures on vanishing theorems (PDF), DMV Seminar, 20, Birkhäuser Verlag, ISBN 978-3-7643-2822-1, MR 1193913