© 2008

Algorithms in Algebraic Geometry

  • Alicia Dickenstein
  • Frank-Olaf Schreyer
  • Andrew J. Sommese

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 146)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Daniel J. Bates, Chris Peterson, Andrew J. Sommese
    Pages 1-14
  3. Frédéric Bihan, J. Maurice Rojast, Frank Sottile
    Pages 15-20
  4. Antonio Cafure, Guillermo Matera, Ariel Waissbein
    Pages 55-77
  5. Anton Leykin, Jan Verschelde, Ailing Zhao
    Pages 79-97
  6. Heidi Camilla Mork, Ragni Piene
    Pages 99-115
  7. Jiawang Nie, Pablo A. Parrilo, Bernd Sturmfels
    Pages 117-132
  8. Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
    Pages 133-152
  9. Back Matter
    Pages 153-161

About this book


In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric compuation. Some of these algorithms were originally designed for abstract algebraic geometry, but now are of interest for use in applications and some of these algorithms were originally designed for applications, but now are of interest for use in abstract algebraic geometry.

The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 18-22, 2006 at the University of Minnesota is one tangible indication of the interest. One hundred ten participants from eleven countries and twenty states came to listen to the many talks; discuss mathematics; and pursue collaborative work on the many faceted problems and the algorithms, both symbolic and numberic, that illuminate them.

This volume of articles captures some of the spirit of the IMA workshop.


Dickenstein algebraic geometry algorithms computation geometry mathematics

Editors and affiliations

  • Alicia Dickenstein
    • 1
  • Frank-Olaf Schreyer
    • 2
  • Andrew J. Sommese
    • 3
  1. 1.Departamento de Matemática Facultad de Ciencias Exactas y NaturalesUniversidad de Buenos AiresBuenos AiresArgentina
  2. 2.Mathematik und InformatikUniversität des SaarlandesSaarbrückenGermany
  3. 3.Department of MathematicsUniversity of Notre DameNotre DameUSA

Bibliographic information

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