Newton-Okounkov bodies obtained from certain orbits of plabic graphs
Combinatorics
2025-01-22 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2501.11466,
title = {Newton-Okounkov bodies obtained from certain orbits of plabic graphs},
author = {Michael Schlößer},
journal= {arXiv preprint arXiv:2501.11466},
year = {2025}
}
Comments
22 pages, 9 figures