Algebraic shifting of cyclic polytopes and stacked polytopes

研究成果: Paper

抄録

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.

元の言語English
ページ607-615
ページ数9
出版物ステータスPublished - 2006 12 1
外部発表Yes
イベント18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States
継続期間: 2006 6 192006 6 23

Other

Other18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006
United States
San Diego, CA
期間06/6/1906/6/23

Fingerprint

Polytopes
Upper bound
Homology Spheres
F-vector
Gorenstein

ASJC Scopus subject areas

  • Algebra and Number Theory

これを引用

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

Algebraic shifting of cyclic polytopes and stacked polytopes. / Murai, Satoshi.

2006. 607-615 論文発表場所 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006, San Diego, CA, United States.

研究成果: Paper

Murai, S 2006, 'Algebraic shifting of cyclic polytopes and stacked polytopes', 論文発表場所 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006, San Diego, CA, United States, 06/6/19 - 06/6/23 pp. 607-615.
Murai S. Algebraic shifting of cyclic polytopes and stacked polytopes. 2006. 論文発表場所 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006, San Diego, CA, United States.
Murai, Satoshi. / Algebraic shifting of cyclic polytopes and stacked polytopes. 論文発表場所 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006, San Diego, CA, United States.9 p.
@conference{b732ba48ff3e40da8bcb27495e68dc80,
title = "Algebraic shifting of cyclic polytopes and stacked polytopes",
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.",
keywords = "Combinatorial shifting, Cyclic polytope, Exterior shifting, Stacked polytope",
author = "Satoshi Murai",
year = "2006",
month = "12",
day = "1",
language = "English",
pages = "607--615",
note = "18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 ; Conference date: 19-06-2006 Through 23-06-2006",

}

TY - CONF

T1 - Algebraic shifting of cyclic polytopes and stacked polytopes

AU - Murai, Satoshi

PY - 2006/12/1

Y1 - 2006/12/1

N2 - 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.

AB - 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.

KW - Combinatorial shifting

KW - Cyclic polytope

KW - Exterior shifting

KW - Stacked polytope

UR - http://www.scopus.com/inward/record.url?scp=84860607306&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860607306&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84860607306

SP - 607

EP - 615

ER -