On Eckl's pseudo-effective reduction map
Algebraic Geometry
2011-09-22 v3
Abstract
Suppose that X is a complex projective variety and L is a pseudo-effective divisor. A numerical reduction map is a quotient of X by all subvarieties along which L is numerically trivial. We construct two variants: the L-trivial reduction map and the pseudo-effective reduction map of [Eckl05]. We show that these maps capture interesting geometric properties of L and use them to analyze abundant divisors.
Cite
@article{arxiv.1103.1073,
title = {On Eckl's pseudo-effective reduction map},
author = {Brian Lehmann},
journal= {arXiv preprint arXiv:1103.1073},
year = {2011}
}
Comments
26 pages, v3: small revisions in introduction