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arXiv · 2501.11466

Newton-Okounkov bodies obtained from certain orbits of plabic graphs

Michael Schlößer
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Abstract

We investigate the plabic graphs corresponding to the quadrilateral Postnikov arrangements used by J.Scott to equip the homogeneous coordinate rings of Grassmannians with a cluster structure. More precisely we describe their orbits under the natural action of the dihedral group and show that the associated Newton-Okounkov bodies are all unimodular equivalent to Gelfand-Tsetlin polytopes.

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Michael Schlößer. 2025-01-20. Newton-Okounkov bodies obtained from certain orbits of plabic graphs. https://arxiv.org/abs/2501.11466

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