2012/04/25 by Takayuki Hibi, Hibi, Takayuki, Akihiro Higashitani +5
Mathematics · #05B40 (Secondary) #13H190 (Primary) 52B20 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:05B40 #msc:13H190 #msc:52B20
paper · pdf · doi:10.48550/arxiv.1204.5565
15 pages
arxiv created 2012/04/25 · arxiv updated 2012/04/26
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.