El Zein / Suciu / Tosun Arrangements, Local Systems and Singularities

CIMPA Summer School, Galatasaray University, Istanbul, 2007
2010
ISBN: 978-3-0346-0209-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 283, 305 Seiten, eBook

Reihe: Progress in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

El Zein, Fouad

Suciu, Alexander I.

Tosun, Meral

Uludag, Muhammed

Yuzvinsky, Sergey

Inhaltsverzeichnis

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.