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VOL. 62 | 2012 Hyperplane arrangements: computations and conjectures

Abstract

This paper provides an overview of selected results and open problems in the theory of hyperplane arrangements, with an emphasis on computations and examples. We give an introduction to many of the essential tools used in the area, such as Koszul and Lie algebra methods, homological techniques, and the Bernstein–Gelfand–Gelfand correspondence, all illustrated with concrete calculations. We also explore connections of arrangements to other areas, such as De Concini–Procesi wonderful models, the Feichtner–Yuzvinsky algebra of an atomic lattice, fatpoints and blowups of projective space, and plane curve singularities.

Information

Published: 1 January 2012
First available in Project Euclid: 24 November 2018

zbMATH: 1261.52016
MathSciNet: MR2933802

Digital Object Identifier: 10.2969/aspm/06210323

Subjects:
Primary: 52C35
Secondary: 13D02, 16E05, 16S37, 20F14

Rights: Copyright © 2012 Mathematical Society of Japan

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