Zariski decompositions of numerical cycle classes
Algebraic Geometry
2016-01-14 v3
Abstract
We construct a Zariski decomposition for cycle classes of arbitrary codimension. This decomposition is an analogue of well-known constructions for divisors. Examples illustrate how Zariski decompositions of cycle classes reflect the geometry of the underlying space. We also analyze the birational behavior of Zariski decompositions, leading to a Fujita approximation-type result for curve classes.
Cite
@article{arxiv.1310.0538,
title = {Zariski decompositions of numerical cycle classes},
author = {Mihai Fulger and Brian Lehmann},
journal= {arXiv preprint arXiv:1310.0538},
year = {2016}
}
Comments
50 pages, 1 figure; v2: updated references; v3: minor corrections