Algebraic shifting of strongly edge decomposable spheres

Satoshi Murai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Recently, Nevo introduced the notion of strongly edge decomposable spheres. In this paper, we characterize algebraic shifted complexes of those spheres. Algebraically, this result yields the characterization of the generic initial ideal of the Stanley-Reisner ideal of Gorenstein* complexes having the strong Lefschetz property in characteristic 0.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Combinatorial Theory. Series A
Issue number1
Publication statusPublished - 2010 Jan
Externally publishedYes


  • Algebraic shifting
  • Edge contraction
  • Squeezed spheres
  • Strong Lefschetz property
  • Strongly edge decomposable complexes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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