Exploring a method of taming the boundary behavior of n-convex exhaustion functions, a curvature property of line bundles associated to effective Cartier divisors is proved. Cohomology vanishing theorems of the Serre type and the Kodaira-Nakano type are obtained as application.
Cite this article
Hiroshi Fuse, Takeo Ohsawa, On a Curvature Property of Effective Divisors and Its Application to Sheaf Cohomology. Publ. Res. Inst. Math. Sci. 45 (2009), no. 4, pp. 1033–1039