A reduction map for nef line bundles
Algebraic Geometry
2007-05-23 v1
Abstract
In a recent preprint, H. Tsuji gave a number of interesting assertions on the structure of pseudo-effective line bundles on projective manifolds. In particular, he postulated the existence of an almost-holomorphic "reduction map", whose fibers are maximal subvarieties on which the line bundle is numerically trivial. The purpose of this note is to give a simple, algebraic proof of the existence of a reduction map in the case where the line bundle is nef.
Cite
@article{arxiv.math/0106147,
title = {A reduction map for nef line bundles},
author = {Thomas Bauer and Frederic Campana and Thomas Eckl and Stefan Kebekus and Thomas Peternell and Slawomir Rams and Tomasz Szemberg and Lorenz Wotzlaw},
journal= {arXiv preprint arXiv:math/0106147},
year = {2007}
}