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Ehrhart Positivity of Schubitopes

Combinatorics · posed by Cara Monical, Neriman Tokcan, Alexander Yong, 2019 · disproved

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Statement

Monical, Tokcan and Yong conjectured that Schubitopes, the generalized permutahedra arising as Newton polytopes of Schubert polynomials and of Demazure characters of GLn\mathrm{GL}_n, are Ehrhart positive. Disproved by an explicit Schubitope whose Ehrhart polynomial has a negative coefficient in its monomial expansion.

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  1. construction · #1

    GPT-5.6 Sol Pro, with Yupeng Li and Avery St. Dizier

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