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Arrangements, Local Systems and Singularities [electronic resource] : CIMPA Summer School, Galatasaray University, Istanbul, 2007 / edited by Fouad Zein, Alexandru I. Suciu, Meral Tosun, A. Muhammed Uludağ, Sergey Yuzvinsky.

By: Zein, Fouad [editor.].
Contributor(s): Suciu, Alexandru I [editor.] | Tosun, Meral [editor.] | Uludağ, A. Muhammed [editor.] | Yuzvinsky, Sergey [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Progress in Mathematics: 283Publisher: Basel : Birkhäuser Basel, 2010Description: online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783034602099.Subject(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic GeometryDDC classification: 516.35 Online resources: Click here to access online
Contents:
Combinatorics of Covers of Complexified Hyperplane Arrangements -- Homological Aspects of Hyperplane Arrangements -- Pencils of Plane Curves and Characteristic Varieties -- Lectures on Orlik-Solomon Algebras -- Local Systems and Constructible Sheaves -- Geometry and Combinatorics of Resonant Weights -- The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements -- Toric Varieties and the Diagonal Property -- to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs -- Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation -- On the Extendability of Free Multiarrangements -- Problem Session.
In: Springer eBooksSummary: 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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Combinatorics of Covers of Complexified Hyperplane Arrangements -- Homological Aspects of Hyperplane Arrangements -- Pencils of Plane Curves and Characteristic Varieties -- Lectures on Orlik-Solomon Algebras -- Local Systems and Constructible Sheaves -- Geometry and Combinatorics of Resonant Weights -- The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements -- Toric Varieties and the Diagonal Property -- to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs -- Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation -- On the Extendability of Free Multiarrangements -- Problem Session.

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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