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A Newton–Okounkov convex body is a convex body constructed from a projective variety with a valuation on its homogeneous coordinate ring; this is deeply connected with representation theory. For instance, the Littelmann string polytopes and the Feigin–Fourier–Littelmann–Vinberg polytopes are examples of Newton–Okounkov convex bodies. In this paper, we prove that the Newton–Okounkov convex body of...
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