Hyperplane Arrangements

Alexandru Dimca is a world-leading authority in Singularity Theory and Hyperplane Arrangements, with a strong track record of ground-breaking research. He is the author of four books and over 120 research papers, many of them devoted to the topics discussed in this book. He has an established reputation for his clear writing style, and his vast teaching experience helps him to convey the main ideas in an accessible and efficient way.

“In this book, Alexandru Dimca provides a readable and concise introduction to the theory of hyperplane arrangements. ... the textbook is well written and contains the necessary information for an introduction to the modern study of hyperplane arrangements. Those new to the area will benefit from gaining enough knowledge to proceed to research problems quickly, and those who have studied hyperplanes for longer will benefit from the carefully curated list of references to current research.” (Kristopher Williams, Mathematical Reviews, 2018)“In the book under review, the author provides an interesting introduction to the theory of hyperplane arrangements. … It is worth pointing out that the text is accessible even for advanced undergraduate students (especially the first three chapters) and motivating since the book focuses on current research problems and provides some open problems. … this is a very nice introduction to the subject.” (Piotr Pokora, zbMATH 1362.14001, 2017)

• 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.