Variation of numerical dimension of singular hermitian line bundles
Algebraic Geometry
2018-11-13 v1 Complex Variables
Abstract
The purpose of this paper is to give two supplements for vanishing theorems: One is a relative version of the Kawamata-Viehweg-Nadel type vanishing theorem, which is obtained from an observation for the variation of the numerical dimension of singular hermitian line bundles. The other is an analytic injectivity theorem for log canonical pairs on surfaces, which can be seen as a partial answer for Fujino's conjecture.
Keywords
Cite
@article{arxiv.1811.04385,
title = {Variation of numerical dimension of singular hermitian line bundles},
author = {Shin-ichi Matsumura},
journal= {arXiv preprint arXiv:1811.04385},
year = {2018}
}
Comments
9 pages