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Original Articles

Toric Rings Arising from Cyclic Polytopes

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Pages 778-794 | Received 29 Mar 2013, Published online: 22 Oct 2014

REFERENCES

  • Bruns , W. , Gubeladze , J. ( 2009 ). Polytopes, Rings and K-theory . Heidelberg : Springer–Verlag .
  • Bruns , W. , Herzog , J. ( 1998 ). Cohen-Macaulay Rings . Revised edition. Cambridge : Cambridge University Press .
  • Cavaliere , M. P. , Niesi , G. ( 1983 ). On monomial curves and Cohen-Macaulay type . Manuscripta Math. 42 : 147 – 159 .
  • De Negri , E. , Hibi , T. ( 1997 ). Gorenstein algebras of Veronese type . J. Algebra 193 ( 2 ): 629 – 639 .
  • Eisenbud , D. ( 1995 ). Commutative Algebra with a View toward Algebraic Geometry. Springer .
  • Goto , S. , Watanabe , K. ( 1978 ). On graded rings, II (ℤ n -graded rings) . Tokyo J. Math. 1 : 237 – 261 .
  • Grünbaum , B. ( 2003 ). Convex Polytopes. , 2nd ed. Heidelberg : Springer–Verlag .
  • Hibi , T. , Higashitani , A. , Katthän L., Okazaki , R. ( 2014 ). Normal cyclic polytopes and cyclic polytopes that are not very ample . J. Aust. Math. Soc. 96 ( 1 ): 61 – 77 .
  • Katthän , L. ( 2012 ). On homology spheres with few minimal non-faces . Proc. Amer. Math. Soc. 140 : 2489 – 2500 .
  • Ohsugi , H. , Hibi , T. ( 2007 ). Toric ideals arising from contingency tables. In: Proc. Int. Conf. - Commutative Algebra and Combinatorics, pp. 91–115 .
  • Ziegler , G. M. ( 1995 ). Lectures on Polytopes . Heidelberg : Springer–Verlag .
  • Communicated by G. Leuschke.

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