Description

Book Synopsis


Table of Contents
  • Introduction
  • I. Relative Quadratic Extensions
    • 1. Extension of primes
    • 2. Hilbert symbols
    • 3. The group Gen(E/F)
    • 4. The group Iso(E/F)
    • 5. The unramified case
    • 6. Examples
  • II. The Witt Ring H(E)
    • 1. General definitions
    • 2. Anisotropic representatives
    • 3. Invariants for H(E)
    • 4. Algebraic number fields
  • III. Torsion Forms
    • 1. Torsion OE-modules
    • 2. The quotient E/K
    • 3. Torsion innerproducts
    • 4. Localizers
    • 5. The inverse different
  • IV. The Group Hu(K)
    • 1. Basic definitions
    • 2. The group Iso(E/F) again
    • 3. The Knebusch exact sequence
    • 4. Localization
    • 5. Computing Hu(K)
    • 6. The ring H(OE)
    • 7. The Cokernel of δ
  • V. The Witt Ring W(OF)
    • 1. Symbols
    • 2. The boundary operator
    • 3. The ring W(OF)
  • References
  • Symbol List

Notes on the Witt Classification of Hermitian

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A Paperback / softback by P. E. Conner

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    View other formats and editions of Notes on the Witt Classification of Hermitian by P. E. Conner

    Publisher: University of Texas Press
    Publication Date: 01/08/1979
    ISBN13: 9780292740679, 978-0292740679
    ISBN10: 0292740670
    Also in:
    Mathematics Topology

    Description

    Book Synopsis


    Table of Contents
    • Introduction
    • I. Relative Quadratic Extensions
      • 1. Extension of primes
      • 2. Hilbert symbols
      • 3. The group Gen(E/F)
      • 4. The group Iso(E/F)
      • 5. The unramified case
      • 6. Examples
    • II. The Witt Ring H(E)
      • 1. General definitions
      • 2. Anisotropic representatives
      • 3. Invariants for H(E)
      • 4. Algebraic number fields
    • III. Torsion Forms
      • 1. Torsion OE-modules
      • 2. The quotient E/K
      • 3. Torsion innerproducts
      • 4. Localizers
      • 5. The inverse different
    • IV. The Group Hu(K)
      • 1. Basic definitions
      • 2. The group Iso(E/F) again
      • 3. The Knebusch exact sequence
      • 4. Localization
      • 5. Computing Hu(K)
      • 6. The ring H(OE)
      • 7. The Cokernel of δ
    • V. The Witt Ring W(OF)
      • 1. Symbols
      • 2. The boundary operator
      • 3. The ring W(OF)
    • References
    • Symbol List

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