Algebraic shifting of strongly edge decomposable spheres

Satoshi Murai

doi:10.1016/j.jcta.2009.04.002

Algebraic shifting of strongly edge decomposable spheres

Satoshi Murai^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Combinatorial Theory. Series A
Volume	117
Issue number	1
DOIs	https://doi.org/10.1016/j.jcta.2009.04.002
Publication status	Published - 2010 Jan
Externally published	Yes

Keywords

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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10.1016/j.jcta.2009.04.002

Cite this

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abstract = "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.",

keywords = "Algebraic shifting, Edge contraction, Squeezed spheres, Strong Lefschetz property, Strongly edge decomposable complexes",

author = "Satoshi Murai",

note = "Funding Information: I would like to thank Eran Nevo for helpful comments on an earlier version of this paper. The author is supported by JSPS Research Fellowships for Young Scientists.",

year = "2010",

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doi = "10.1016/j.jcta.2009.04.002",

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KW - Edge contraction

KW - Squeezed spheres

KW - Strong Lefschetz property

KW - Strongly edge decomposable complexes

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Algebraic shifting of strongly edge decomposable spheres

Abstract

Keywords

ASJC Scopus subject areas

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