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Invariant Methods in Discrete and Computational Geometry

Proceedings of the Curaçao Conference, 13–17 June, 1994

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Neil L. White

    1. Mathematics Department, University of Florida, Gainesville, USA

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Table of contents (16 papers)

  1. Front Matter

    Pages i-xiii
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  2. The Power of Positive Thinking

    • Wendy Chan, Gian-Carlo Rota, Joel A. Stein
    Pages 1-36

  3. Introduction to Chow Forms

    • John Dalbec, Bernd Sturmfels
    Pages 37-58

  4. Capelli’s Method of Variabili Ausiliarie, Superalgebras and Geometric Calculus

    • Andrea Brini, Antonio G. B. Teolis
    Pages 59-75

  5. Letterplace Algebra and Symmetric Functions

    • Wendy Chan
    Pages 77-91

  6. A Tutorial on Grassmann-Cayley Algebra

    • Neil L. White
    Pages 93-106

  7. Computational Symbolic Geometry

    • B. Mourrain, N. Stolfi
    Pages 107-139

  8. Invariant Theory and the Projective Plane

    • Michael Hawrylycz
    Pages 141-166

  9. Automatic Proving of Geometric Theorems

    • Henry Crapo, Jürgen Richter-Gebert
    Pages 167-196

  10. The Resolving Bracket

    • Henry Crapo, Gian-Carlo Rota
    Pages 197-222

  11. Computation of the Invariants of a Point Set in P 3 from Its Projections in P 2

    • L. Quan
    Pages 223-244

  12. Geometric Algebra and Möbius Sphere Geometry as a Basis for Euclidean Invariant Theory

    • Timothy F. Havel
    Pages 245-256

  13. Invariants on G/U x G/U x G/U, G = SL(4,C)

    • Frank D. Grosshans
    Pages 257-277

  14. On a Certain Complex Related to the Notion of Hyperdeterminant

    • G. Boffi
    Pages 279-288

  15. On Cayley’s Projective Configurations an Algorithmic Study

    • Rodolfo San Agustin
    Pages 289-299

  16. On the Construction of Equifacetted 3-Spheres

    • Jürgen Bokowski
    Pages 301-312

  17. Depths and Betti Numbers of Homology Manifolds

    • Clara S. Chan, Douglas Jungreis, Richard Stong
    Pages 313-321

  18. Back Matter

    Pages 323-328
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Keywords

About this book

Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete and Computational Geometry provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. It also presents a number of current research papers on invariant theory and its applications to problems in geometry, such as automated theorem proving and computer vision.
Audience: Researchers studying mathematics, computers and robotics.

Editors and Affiliations

  • Mathematics Department, University of Florida, Gainesville, USA

    Neil L. White

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