Algebraic shifting of strongly edge decomposable spheres

作者：Murai Satoshi^*

来源：Journal of Combinatorial Theory - Series A, 2010, 117(1): 1-16.

DOI：10.1016/j.jcta.2009.04.002

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

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.

• 出版日期2010-1