JournalsprimsVol. 45, No. 4pp. 1033–1039

On a Curvature Property of Effective Divisors and Its Application to Sheaf Cohomology

  • Hiroshi Fuse

    Nagoya University, Japan

  • Takeo Ohsawa

    Nagoya University, Nagoya, Chikusa-Ku, Japan
On a Curvature Property of Effective Divisors and Its Application to Sheaf Cohomology cover
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Abstract

Exploring a method of taming the boundary behavior of -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

DOI 10.2977/PRIMS/1260476652