Hard Lefschetz theorem for simple polytopes
type: Item
instance of: scholarly article
title: Hard Lefschetz theorem for simple polytopes
zbMATH Open document ID: 1210.52005
author: Balin Fleming
author: Kalle Karu
published in: Journal of Algebraic Combinatorics
publication date: 2010-12-08T00:00:00Z
review text: This paper contains a new original proof of the Hard Lefschetz theorem for simple polytopes, which follows the main steps of McMullen's proof and uses conewise polynomial functions on a simplicial fan [cf. \textit{L.~Billera} and \textit{C.~W.~Lee} [J. Comb. Theory, Ser. A 31, 237--255 (1981; Zbl 0479.52006); \textit{P.~McMullen}, Invent. Math. 113, No.~2, 419--444 (1993; Zbl 0803.52007); \textit{R.~Stanley}, Adv. Math. 35, 236--238 (1980; Zbl 0427.52006); \textit{V. A.~Timorin}, Russ. Math. Surv. 54, No.~2, 381--426 (1999); translation from Usp. Mat. Nauk 54, No.~2, 113--162 (1999; Zbl 0944.52005)].
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 14M25
zbMATH DE Number: 5824575
zbMATH Keywords: simple polytope
zbMATH Keywords: simplicial fan
zbMATH Keywords: hard Lefschetz theorem
zbMATH Keywords: toric variety
reviewed by: Vasyl Gorkaviy
MaRDI profile type: Publication
full work available at URL: s10801-009-0212-1
OpenAlex ID: W2115663040
cites work: Combinatorial intersection cohomology for fans.
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cites work: Q4803674
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DOI: 10.1007/S10801-009-0212-1
description: scientific article; zbMATH DE number 5824575