Singularities and Computer Algebra

Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday

  • Wolfram Decker
  • Gerhard Pfister
  • Mathias Schulze

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Enrique Artal Bartolo, Leire Gorrochategui, Ignacio Luengo, Alejandro Melle-Hernández
    Pages 1-19
  3. Janko Böhm, Magdaleen S. Marais, Gerhard Pfister
    Pages 21-46
  4. Winfried Bruns, Aldo Conca
    Pages 47-69
  5. Igor Burban, Yuriy Drozd, Volodymyr Gavran
    Pages 71-95
  6. Eugenii Shustin
    Pages 275-304
  7. Dirk Siersma, Mihai Tibăr
    Pages 305-322
  8. J. H. M. Steenbrink
    Pages 323-327
  9. Duco van Straten
    Pages 353-364
  10. G. Trautmann
    Pages 365-389

About this book


This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra.
Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Schönemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.
The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.


singularity theory algebraic geometry topology complex analysis computer algebra

Editors and affiliations

  • Wolfram Decker
    • 1
  • Gerhard Pfister
    • 2
  • Mathias Schulze
    • 3
  1. 1.Department of MathematicsTU KaiserslauternKaiserslauternGermany
  2. 2.Department of MathematicsTU KaiserslauternKaiserslauternGermany
  3. 3.Department of MathematicsTU KaiserslauternKaiserslauternGermany

Bibliographic information