Software for Algebraic Geometry

  • Michael Stillman
  • Jan Verschelde
  • Nobuki Takayama
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 148)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler II
    Pages 1-14
  3. Yun Guan, Jan Verschelde
    Pages 15-32
  4. Anders Nedergaard Jensen
    Pages 33-46
  5. Masanobu Kaneko, Masayuki Noro, Ken’Ichi Tsurumaki
    Pages 47-58
  6. Bernard Mourrain, Jean-Pascal Pavone, Philippe Trebuchet, Elias P. Tsigaridas, Julien Wintz
    Pages 81-109
  7. Bernd Sturmfels, Josephine Yu
    Pages 111-131
  8. Back Matter
    Pages 169-172

About this book

Introduction

Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern field of computational algebraic geometry which has come to play a major role in both theoretical advances and applications. Over the past fifteen years, several excellent general purpose packages for computations in algebraic geometry have been developed, such as, CoCoA, Singular and Macaulay 2. While these packages evolve continuously, incorporating new mathematical advances, they both motivate and demand the creation of new mathematics and smarter algorithms.

This volume reflects the workshop "Software for Algebraic Geometry" held in the week from 23 to 27 October 2006, as the second workshop in the thematic year on Applications of Algebraic Geometry at the IMA. The papers in this volume describe the software packages Bertini, PHClab, Gfan, DEMiCs, SYNAPS, TrIm, Gambit, ApaTools, and the application of Risa/Asir to a conjecture on multiple zeta values. They offer the reader a broad view of current trends in computational algebraic geometry through software development and applications.

Keywords

Algebraic GNU Octave MATLAB Software Stillman algebra algorithms geometry software development

Editors and affiliations

  • Michael Stillman
    • 1
  • Jan Verschelde
    • 2
  • Nobuki Takayama
    • 3
  1. 1.Department of MathematicsCornell UniversityIthacaUSA
  2. 2.Department of MathematicsUniversity of IllinoisChicagoUSA
  3. 3.Department of MathematicsKobe UniversityKobeJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-78133-4
  • Copyright Information Springer New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-78132-7
  • Online ISBN 978-0-387-78133-4
  • Series Print ISSN 0940-6573
  • About this book