rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Hyperplane Arrangements
    sub title: An Introduction
  name:
    name part: Dimca, Alexandru.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 200 p. 18 illus., 17 illus. in color. online resource.
  abstract: 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 topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject. Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.
  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.
  note: by Alexandru Dimca.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Functions of complex variables
  subject:
    topic: Algorithms
  subject:
    topic: Projective geometry
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Commutative Rings and Algebras
  subject:
    topic: Several Complex Variables and Analytic Spaces
  subject:
    topic: Algorithms
  subject:
    topic: Projective Geometry
  subject:
    topic: Combinatorics
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9783319562216
  identifier: http://dx.doi.org/10.1007/978-3-319-56221-6
  record info:
    record creation date: 170329
    record change date: 20170329172029.0
    record identifier: 978-3-319-56221-6