Minkowski decomposition of Okounkov bodies on surfaces

Patrycja Łuszcz-Świdecka; David Schmitz

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arXiv · 1304.4246

Minkowski decomposition of Okounkov bodies on surfaces

Patrycja Łuszcz-Świdecka·David Schmitz

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Abstract

We prove that the Okounkov body of a big divisor with respect to a general flag on a smooth projective surface whose pseudo-effective cone is rational polyhedral decomposes as the Minkowski sum of finitely many simplices and line segments arising as Okounkov bodies of nef divisors.

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Patrycja Łuszcz-Świdecka, David Schmitz. 2013-04-15. Minkowski decomposition of Okounkov bodies on surfaces. https://arxiv.org/abs/1304.4246

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