Toric rings arising from cyclic polytopes
  In the present paper, we consider the problem when the toric ring arising from an integral cyclic polytope is Cohen-Macaulay by discussing Serre's condition and we give a complete characterization when that is Gorenstein. Moreover, we study the normality of the other semigroup ring arising from an integral cyclic polytope but generated only with its vertices. 
Takayuki Hibi, Akihiro Higashitani, Lukas Katth"an and Ryota Okazaki
math.AC math.CO