Applications of Algebraic Geometry to Coding Theory, Physics and Computation

  • Ciro Ciliberto
  • Friedrich Hirzebruch
  • Rick Miranda
  • Mina Teicher

Part of the NATO Science Series book series (NAII, volume 36)

Table of contents

  1. Front Matter
    Pages I-XV
  2. I. Burban, Yu. Drozd, G.-M Greuel
    Pages 1-15
  3. L. Chiantini, F. Cioffi, F. Orecchia
    Pages 23-35
  4. C. Ciliberto, R. Miranda
    Pages 37-51
  5. C. Ciliberto, R. Miranda, M. Teicher
    Pages 53-63
  6. W. Decker, F.-O. Schreyer
    Pages 65-119
  7. M. Fryers, J. Y. Kaminski, M. Teicher
    Pages 121-137
  8. G.-M. Greuel, C. Lossen, M. Schulze
    Pages 161-194
  9. K. Hulek, J. Spandaw
    Pages 195-205
  10. E. Izadi
    Pages 207-214

About this book

Introduction

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.

Keywords

algorithms coding theory communication computer finite field geometry networks sets singularity theory

Editors and affiliations

  • Ciro Ciliberto
    • 1
  • Friedrich Hirzebruch
    • 2
  • Rick Miranda
    • 3
  • Mina Teicher
    • 4
  1. 1.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomaItaly
  2. 2.Max Planck Institut für MathematikBonnGermany
  3. 3.Department of MathematicsColorado State UniversityFort CollinsUSA
  4. 4.Department of Mathematics and Computer ScienceBar-Ilan UniversityRamat GanIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-1011-5
  • Copyright Information Kluwer Academic Publishers 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0005-8
  • Online ISBN 978-94-010-1011-5
  • Series Print ISSN 1568-2609
  • About this book