Open AccessOn a Curvature Property of Effective Divisors and Its Application to Sheaf Cohomology
Author(s) -
Hiroshi FUSE,
Takeo Ohsawa
Publication year - 2009
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1260476652
Subject(s) - mathematics , sheaf , sheaf cohomology , pure mathematics , cohomology , property (philosophy) , curvature , algebra over a field , equivariant cohomology , geometry , epistemology , philosophy
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.
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