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Singularities and Computer Algebra

Singularities and Computer Algebra

Part of London Mathematical Society Lecture Note Series

C. Lossen, G. Pfister, H. Abo, F.-O. Schreyer, E. Artal Bartolo, I. Luengo, A. Melle Hernandez, R.-O. Buchweitz, D. Mond, Y. A. Drozd, W. Ebeling, A. Fruhbis-Kruger, E. Garci a Barroso, B. Teissier, H. A. Hamm, L. D. Tráng, H. Schonemann, E. Shustin, J. H. M. Steenbrink, J. Stevens, D. van Straten, J. Wahl
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  • Date Published: April 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521683098

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About the Authors
  • This volume surveys important topics in singularity theory, with a particular focus on computational aspects of the subject. The contributors to this volume include R. O. Buchweitz, Y. A. Drozd, W. Ebeling, H. A. Hamm, Le D. T., I. Luengo, F.-O. Schreyer, E. Shustin, J. H. M. Steenbrink, D. van Straten, B. Teissier and J. Wahl. Together they describe the development of various areas of singularity theory over many years, and a range of open questions are discussed. Research workers in singularity theory, computer algebra or related subjects will find that this book contains a wealth of valuable information.

    • Contributors are leading figures in singularity theory
    • Entire subject is spanned in expository chapters
    • Numerous open questions are discussed
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    Product details

    • Date Published: April 2006
    • format: Paperback
    • isbn: 9780521683098
    • length: 408 pages
    • dimensions: 228 x 153 x 22 mm
    • weight: 0.571kg
    • contains: 24 b/w illus. 24 tables
    • availability: Available
  • Table of Contents

    Preface
    Invited lectures
    List of participants
    1. Aspects of Gert-Martin Greuel's mathematical work C. Lossen and G. Pfister
    2. Exterior algebra methods for the construction of rational surfaces in the projective fourspace H. Abo and F.-O. Schreyer
    3. Superisolated surface singularities E. Artal Bartolo, I. Luengo and A. Melle Hernandez
    4. Linear free divisors and quiver representations R.-O. Buchweitz and D. Mond
    5. Derived categories of modules and coherent sheaves Y. A. Drozd
    6. Monodromy W. Ebeling
    7. Algorithmic resolution of singularities A. Fruhbis-Kruger and G. Pfister
    8. Newton polyhedra of descriminants: a computation E. Garci a Barroso and B. Teissier
    9. Depth and differential forms H. A. Hamm
    10. The geometry of the versal deformation L. D. Tráng
    11. 21 years of SINGULAR experiments in mathematics C. Lossen and H. Schonemann
    12. The patchworking construction in tropical enumerative geometry E. Shustin
    13. Adjunction conditions for one-forms on surfaces in projective three-space J. H. M. Steenbrink
    14. Sextic surfaces with ten triple points J. Stevens
    15. Some problems on Lagrangian singularities D. van Straten
    16. Topology, geometry, and equations of normal surface singularities J. Wahl.

  • Editors

    Christoph Lossen, Technische Universität Kaiserslautern, Germany
    Christoph Lossen is an Assistant Professor at the University of Kaiserslautern, Germany.

    Gerhard Pfister, Technische Universität Kaiserslautern, Germany
    Christoph Lossen is a Professor at the University of Kaiserslautern, Germany.

    Contributors

    C. Lossen, G. Pfister, H. Abo, F.-O. Schreyer, E. Artal Bartolo, I. Luengo, A. Melle Hernandez, R.-O. Buchweitz, D. Mond, Y. A. Drozd, W. Ebeling, A. Fruhbis-Kruger, E. Garci a Barroso, B. Teissier, H. A. Hamm, L. D. Tráng, H. Schonemann, E. Shustin, J. H. M. Steenbrink, J. Stevens, D. van Straten, J. Wahl

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