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: Frobenius Splitting Methods in Geometry and Representation Theory
  name:
    name part: Brion, Michel.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Kumar, Shrawan.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 250 p. online resource.
  abstract: The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key features: * Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research * Studies in detail the geometry of Schubert varieties, their syzygies, equivariant embeddings of reductive groups, Hilbert Schemes, canonical splittings, good filtrations, among other topics * Applies Frobenius splitting methods to algebraic geometry and various problems in representation theory * Many examples, exercises, and open problems suggested throughout * Comprehensive bibliography and index This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.
  table of contents: Frobenius Splitting: General Theory -- Frobenius Splitting of Schubert Varieties -- Cohomology and Geometry of Schubert Varieties -- Canonical Splitting and Good Filtration -- Cotangent Bundles of Flag Varieties -- Equivariant Embeddings of Reductive Groups -- Hilbert Schemes of Points on Surfaces.
  note: by Michel Brion, Shrawan Kumar.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Group theory
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Group Theory and Generalizations
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Mathematics ; 231
  identifier: 9780817644055
  identifier: http://dx.doi.org/10.1007/b137486
  record info:
    record creation date: 100301
    record change date: 20151204141353.0
    record identifier: 978-0-8176-4405-5