Vanishing theorem
Encyclopedia
In algebraic geometry, a vanishing theorem gives conditions for coherent cohomology groups to vanish.
- Grauert–Riemenschneider vanishing theoremGrauert–Riemenschneider vanishing theoremIn mathematics, the Grauert–Riemenschneider vanishing theorem is an extension of the Kodaira vanishing theorem on the vanishing of higher cohomology groups of coherent sheaves on a compact complex manifold, due to ....
- Kawamata–Viehweg vanishing theoremKawamata–Viehweg vanishing theoremIn algebraic geometry, the Kawamata–Viehweg vanishing theorem is an extension of the Kodaira vanishing theorem, on the vanishing of coherent cohomology groups, to logarithmic pairs, proved independently by and ....
- Kollár vanishing theorem
- Kodaira vanishing theorem
- Miyaoka vanishing theorem
- Mumford vanishing theorem
- Ramanujam vanishing theoremRamanujam vanishing theoremIn algebraic geometry, the Ramanujam vanishing theorem is an extension of the Kodaira vanishing theorem due to , that in particular gives conditions for the vanishing of first cohomology groups of coherent sheaves on a surface...