Enriched chain polytopes

  title={Enriched chain polytopes},
  author={Hidefumi Ohsugi and Akiyoshi Tsuchiya},
  journal={Israel Journal of Mathematics},
Stanley introduced a lattice polytope $$\mathscr{C}_P$$ C P arising from a finite poset P , which is called the chain polytope of P . The geometric structure of $$\mathscr{C}_P$$ C P has good relations with the combinatorial structure of P . In particular, the Ehrhart polynomial of $$\mathscr{C}_P$$ C P is given by the order polynomial of P . In the present paper, associated to P , we introduce a lattice polytope ℰ P , which is called the enriched chain polytope of P , and investigate geometric… 
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