Newton-Okounkov polytopes of type A flag varieties of small ranks arising from cluster structures
Abstract
A flag variety is a smooth projective homogeneous variety. In this paper, we study Newton-Okounkov polytopes of the flag variety Fl(C4) arising from its cluster structure. More precisely, we present defining inequalities of such Newton-Okounkov polytopes of Fl(C4). Moreover, we classify these polytopes, establishing their equivalence under unimodular transformations.
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