Ebook: Arrangements, Local Systems and Singularities: CIMPA Summer School, Galatasaray University, Istanbul, 2007
- Tags: Algebraic Geometry
- Series: Progress in Mathematics 283
- Year: 2010
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
Content:
Front Matter....Pages i-x
Combinatorics of Covers of Complexified Hyperplane Arrangements....Pages 1-38
Homological Aspects of Hyperplane Arrangements....Pages 39-58
Pencils of Plane Curves and Characteristic Varieties....Pages 59-82
Lectures on Orlik-Solomon Algebras....Pages 83-110
Local Systems and Constructible Sheaves....Pages 111-153
Geometry and Combinatorics of Resonant Weights....Pages 155-176
The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements....Pages 177-190
Toric Varieties and the Diagonal Property....Pages 191-207
Introduction to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs....Pages 209-245
Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation....Pages 247-272
On the Extendability of Free Multiarrangements....Pages 273-281
Problem Session....Pages 283-319
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.
Content:
Front Matter....Pages i-x
Combinatorics of Covers of Complexified Hyperplane Arrangements....Pages 1-38
Homological Aspects of Hyperplane Arrangements....Pages 39-58
Pencils of Plane Curves and Characteristic Varieties....Pages 59-82
Lectures on Orlik-Solomon Algebras....Pages 83-110
Local Systems and Constructible Sheaves....Pages 111-153
Geometry and Combinatorics of Resonant Weights....Pages 155-176
The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements....Pages 177-190
Toric Varieties and the Diagonal Property....Pages 191-207
Introduction to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs....Pages 209-245
Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation....Pages 247-272
On the Extendability of Free Multiarrangements....Pages 273-281
Problem Session....Pages 283-319
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