On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces

zbMath1348.14019arXiv1507.07273MaRDI QIDQ256367

Brian Harbourne, Piotr Pokora, Halszka Tutaj-Gasińska

Publication date: 9 March 2016

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07273

zbMATH Keywords

projective planes\(K3\) surfacesblow upsnegative curvesZariski decomposition

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements
• On Zariski problem
• On the boundedness of the denominators in the Zariski decomposition on surfaces
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Bounded Negativity and Arrangements of Lines
• Smooth Curves on Projective $K3$ Surfaces

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