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Minkowski decomposition of Okounkov bodies on surfaces

Published 15 Apr 2013 in math.AG | (1304.4246v1)

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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