Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes. (English) Zbl 1420.13063
Summary: Via the theory of reverse lexicographic squarefree initial ideals of toric ideals, we give a new class of Gorenstein Fano polytopes (reflexive polytopes) arising from a pair of stable set polytopes of perfect graphs.
MSC:
| 13P10 | Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) |
| 52B20 | Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) |
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