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arXiv · 1507.07273

On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces

Brian Harbourne·Piotr Pokora·Halszka Tutaj-Gasińska
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Abstract

In this note we consider the problem of integrality of Zariski decompositions for pseudoeffective integral divisors on algebraic surfaces. We show that while sometimes integrality of Zariski decompositions forces all negative curves to be $(-1)$-curves, there are examples where this is not true.

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Brian Harbourne, Piotr Pokora, Halszka Tutaj-Gasińska. 2015-07-27. On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces. https://doi.org/10.3934/era.2015.22.103

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