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Zariski decompositions of numerical cycle classes

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.

preprint2016arXivOpen access
Mihai FulgerBrian Lehmann
math.AG
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Open access2 authors1 topic
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Mihai FulgerBrian Lehmann

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