Hyperplane Arrangements: An Introduction (Universitext)

December 8, 2020
Hyperplane Arrangements: An Introduction (Universitext)

Provides a clear and rapid introduction to many hot topics inthe field of hyperplane arrangementsIntroduces basic definitions and key notions and takes thereader right up to open questionsContains a wealth of exercises of varying levels ofdifficulty——————————This textbook provides an accessible introduction to the richand beautiful area of hyperplane arrangement theory, where discretemathematics, in the form of combinatorics and arithmetic, meetscontinuous mathematics, in the form of the topology and Hodgetheory of complex algebraic varieties.The topics discussed in this book range from elementarycombinatorics and discrete geometry to more advanced material onmixed Hodge structures, logarithmic connections and Milnorfibrations. The author covers a lot of ground in a relatively shortamount of space, with a focus on defining concepts carefully andgiving proofs of theorems in detail where needed. Including anumber of surprising results and tantalizing open problems, thistimely book also serves to acquaint the reader with the rapidlyexpanding literature on the subject.Hyperplane Arrangements will be particularly useful tograduate students and researchers who are interested in algebraicgeometry or algebraic topology. The book contains numerousexercises at the end of each chapter, making it suitable forcourses as well as self-study.