Minkowski decomposition of Okounkov bodies on surfaces

2013/04/15 by Łuszcz-Świdecka, Patrycja, Schmitz, David
#Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14C20 #Secondary 14J26

paper · doi:10.48550/arxiv.1304.4246

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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