Hyperplane Arrangements An Introduction /

• Main Author: Dimca, Alexandru (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Universitext,
• Subjects: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Functions of complex variables.; Algorithms.; Projective geometry.; Combinatorics.; Algebraic Geometry.; Commutative Rings and Algebras.; Several Complex Variables and Analytic Spaces.; Projective Geometry.

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties. The t...

Table of Contents:

• Invitation to the Trip
• Hyperplane Arrangements and their Combinatorics
• Orlik–Solomon Algebras and de Rham Cohomology
• On the Topology of the Complement M(A)
• Milnor Fibers and Local Systems
• Characteristic Varieties and Resonance Varieties
• Logarithmic Connections and Mixed Hodge Structures
• Free Arrangements and de Rham Cohomology of Milnor Fibers.