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Singularity Theory

Singularity Theory
Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occasion of his 60th Birthday

£52.00

Part of London Mathematical Society Lecture Note Series

K. Altmann, J. N. Damon, W. Ebeling, G.-M. Greuel, E. Shustin, E. J. N. Looijenga, A. Nemethi, J. M. Steenbrink, T. Urabe, J. P. Brasselet, Y. Legrand, A. A. du Plessis, T. J. Gaffney, D. Massey, M. Tibar, V. V. Goryunov, J. W. Hill, A. Libgober, O. Saeki, K. Sukuma, K. A. Houston, N. P. Kirk, W. L. Marar, J. A. Montaldi, M. A. S. Ruas, T. Fukui, P. S. Donelan, C. G. Gibson, G. Ishikawa, S. Izumiya
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  • Date Published: June 1999
  • availability: Available
  • format: Paperback
  • isbn: 9780521658881

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About the Authors
  • Singularity theory is a broad subject with vague boundaries. It draws on many other areas of mathematics, and in turn has contributed to many areas both within and outside mathematics, in particular differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision. This volume consists of two dozen articles from some of the best known figures in singularity theory, and it presents an up-to-date survey of research in this area.

    • Indispensable for researchers in this area
    • Authors are top names
    • Covers state of the art results
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    ' … presents an up-to-date survey of research in this area.' Extrait de L'Enseignement Mathématique

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    Product details

    • Date Published: June 1999
    • format: Paperback
    • isbn: 9780521658881
    • length: 468 pages
    • dimensions: 229 x 152 x 26 mm
    • weight: 0.68kg
    • contains: 50 b/w illus. 35 tables
    • availability: Available
  • Table of Contents

    Part I. Complex Singularities:
    1. Singularities arising from lattice polytopes K. Altmann
    2. Critical points of affine multiforms on the complement of arrangements J. N. Damon
    3. Strange duality, mirror symmetry and the Leech lattice W. Ebeling
    4. Geometry of equisingular families of curves G.-M. Greuel and E. Shustin
    5. Arrangements, KZ systems and Lie algebra homology E. J. N. Looijenga
    6. The signature of f(x,y) +zN A. Nemethi
    7. Spectra of K-unimodal isolated singularities of complete intersections J. M. Steenbrink
    8. Dynkin graphs, Gabrielov graphs and triangle singularities T. Urabe
    Part II. Stratifications and Equisingularity Theory:
    9. Differential forms on singular varieties and cyclic homology J. P. Brasselet and Y. Legrand
    10. Continuous controlled vector fields A. A. du Plessis
    11. Finiteness of Mather's canonical stratification A. A. du Plessis
    12. Trends in equisingularity theory T. J. Gaffney and D. Massey
    13. Regularity at infinity of real and complex polynomial maps M. Tibar
    Part III. Global Singularity Theory:
    14. A Bennequin number estimate for transverse knots V. V. Goryunov and J. W. Hill
    15. Abelian covers of the projective plane A. Libgober
    16. Elimination of singularities: Thom polynomials and beyond O. Saeki and K. Sukuma
    Part IV. Singularities of Mappings:
    17. An introduction to the image-computing spectral sequence K. A. Houston
    18. On the classification and geometry of Corank 1 map-germs from 3-space to 4-space K. A. Houston and N. P. Kirk
    19. Multiplicities of zero-schemes in quasi-homogeneous Corank-1 singularities W. L. Marar, J. A. Montaldi and M. A. S. Ruas
    20. Butterflies and umbilics of stable perturbations of analytic map-germs C5,0 → C4,0 T. Fukui
    Part V. Applications of Singularity Theory:
    21. Singular phenomena in kinematics P. S. Donelan and C. G. Gibson
    22. Singularities of developable surfaces G. Ishikawa
    23. Singularities of solutions for first order partial differential equations S. Izumiya.

  • Editors

    W. Bruce, University of Liverpool

    D. Mond, University of Warwick

    Contributors

    K. Altmann, J. N. Damon, W. Ebeling, G.-M. Greuel, E. Shustin, E. J. N. Looijenga, A. Nemethi, J. M. Steenbrink, T. Urabe, J. P. Brasselet, Y. Legrand, A. A. du Plessis, T. J. Gaffney, D. Massey, M. Tibar, V. V. Goryunov, J. W. Hill, A. Libgober, O. Saeki, K. Sukuma, K. A. Houston, N. P. Kirk, W. L. Marar, J. A. Montaldi, M. A. S. Ruas, T. Fukui, P. S. Donelan, C. G. Gibson, G. Ishikawa, S. Izumiya

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