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 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

DOI 10.2977/PRIMS/1260476652