Algebraic shifting of cyclic polytopes and stacked polytopes

Research output: Contribution to conferencePaper

Abstract

Gil Kalai introduced the shifting-theoretic upper bound relation to characterize the f-vectors of Gorenstein * complexes (or homology spheres) by using algebraic shifting. In the present paper, we study the shifting-theoretic upper bound relation. First, we will study the relation between exterior algebraic shifting and combinatorial shifting. Second, by using the relation above, we will prove that the boundary complex of cyclic polytopes satisfies the shifting theoretic upper bound relation. We also prove that the boundary complex of stacked polytopes satisfies the shifting-theoretic upper bound relation.

Original languageEnglish
Pages607-615
Number of pages9
Publication statusPublished - 2006 Dec 1
Externally publishedYes
Event18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States
Duration: 2006 Jun 192006 Jun 23

Other

Other18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006
CountryUnited States
CitySan Diego, CA
Period06/6/1906/6/23

Keywords

  • Combinatorial shifting
  • Cyclic polytope
  • Exterior shifting
  • Stacked polytope

ASJC Scopus subject areas

  • Algebra and Number Theory

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  • Cite this

    Murai, S. (2006). Algebraic shifting of cyclic polytopes and stacked polytopes. 607-615. Paper presented at 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006, San Diego, CA, United States.