Advanced Studies in Pure Mathematics

Poincaré polynomial of a class of signed complete graphic arrangements

Guangfeng Jiang, Jianming Yu, and Jianghua Zhang

Full-text: Open access

Abstract

We compute the Poincaré polynomial of hyperplane arrangements associated with a class of signed complete graphs. We also make a factorization of the Poincaré polynomial over the integers.

Article information

Source
Algebraic Geometry in East Asia — Hanoi 2005, K. Konno and V. Nguyen-Khac, eds. (Tokyo: Mathematical Society of Japan, 2008), 289-297

Dates
Received: 17 March 2006
Revised: 30 June 2006
First available in Project Euclid: 16 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1545001311

Digital Object Identifier
doi:10.2969/aspm/05010289

Mathematical Reviews number (MathSciNet)
MR2409562

Zentralblatt MATH identifier
1144.52025

Subjects
Primary: 52C35: Arrangements of points, flats, hyperplanes [See also 32S22]
Secondary: 06C05: Modular lattices, Desarguesian lattices 05C22: Signed and weighted graphs

Keywords
signed graph hyperplane arrangement free arrangement

Citation

Jiang, Guangfeng; Yu, Jianming; Zhang, Jianghua. Poincaré polynomial of a class of signed complete graphic arrangements. Algebraic Geometry in East Asia — Hanoi 2005, 289--297, Mathematical Society of Japan, Tokyo, Japan, 2008. doi:10.2969/aspm/05010289. https://projecteuclid.org/euclid.aspm/1545001311


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