Hermite normal forms and δ-vectors

  • Authors:

  • Takayuki Hibi;Akihiro Higashitani;Nan Li

  • Affiliations:

  • Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan;Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan;Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2012

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Abstract

Let @d(P)=(@d"0,@d"1,...,@d"d) be the @d-vector of an integral polytope P@?R^N of dimension d. Following previous work on the characterization of @d-vectors with @?"i"="0^d@d"i=