Ramanujam vanishing theorem

Ramanujam vanishing theorem In algebraic geometry, the Ramanujam vanishing theorem is an extension of the Kodaira vanishing theorem due to Ramanujam (1972), that in particular gives conditions for the vanishing of first cohomology groups of coherent sheaves on a surface. The Kawamata–Viehweg vanishing theorem generalizes it.

See also Mumford vanishing theorem References Kawamata, Yujiro (1982), "A generalization of Kodaira-Ramanujam's vanishing theorem", Mathematische Annalen, 261 (1): 43–46, doi:10.1007/BF01456407, ISSN 0025-5831, MR 0675204, S2CID 120101105 Ramanujam, C. P. (1972), "Remarks on the Kodaira vanishing theorem", J. Indian Math. Soc., New Series, 36: 41–51, MR 0330164 This algebraic geometry–related article is a stub. You can help Wikipedia by expanding it.

Categories: Theorems in algebraic geometryAlgebraic geometry stubs