Arrangements, Local Systems and Singularities

, by El Zein, Fouad; Suciu, Alexander I.; Tosun, Meral; Uludag, A. Muhammed; Yuzvinsky, Sergey

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ISBN: 9783034602082 | 3034602081
Cover: Hardcover
Copyright: 4/3/2010

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This volume comprises the Lecture Notes of the CIMPA/TUBITAK Summer School Arrangements, Local systems and Singularities held at Galatasaray University, Istanbul during June 2007. The volume is intended for a large audience in pure mathematics, including researchers and graduate students working in algebraic geometry, singularity theory, topology and related fields. The reader will find a variety of open problems involving arrangements, local systems and singularities proposed by the lecturers at the end of the school.

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Preface	p. vii
List of Participants	p. ix
Combinatorics of Covers of Complexified Hyperplane Arrangements	p. 1
Homological Aspects of Hyperplane Arrangements	p. 39
Pencils of Plane Curves and Characteristic Varieties	p. 59
Lectures on Orlik-Solomon Algebras	p. 83
Local Systems and Constructible Sheaves	p. 111
Geometry and Combinatorics of Resonant Weights	p. 155
The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements	p. 177
Toric Varieties and the Diagonal Property	p. 191
Introduction to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs	p. 209
Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation	p. 247
On the Extendability of Free Multiarrangements	p. 273
Problem Session	p. 283
Table of Contents provided by Ingram. All Rights Reserved.

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Arrangements, Local Systems and Singularities

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