Proof of Chapoton's conjecture on Newton polygons of \(q\)-Ehrhart polynomials (Q5915676)
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scientific article; zbMATH DE number 6895334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of Chapoton's conjecture on Newton polygons of \(q\)-Ehrhart polynomials |
scientific article; zbMATH DE number 6895334 |
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Proof of Chapoton's conjecture on Newton polygons of \(q\)-Ehrhart polynomials (English)
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27 June 2018
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Summary: Recently, Chapoton found a \(q\)-analog of Ehrhart polynomials, which are polynomials in \(x\) whose coefficients are rational functions in \(q\). Chapoton conjectured the shape of the Newton polygon of the numerator of the \(q\)-Ehrhart polynomial of an order polytope. In this paper, we prove Chapoton's conjecture.
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\(q\)-Ehrhart polynomial
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Newton polytope
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order polytope
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\(P\)-partition
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