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
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Part of London Mathematical Society Lecture Note Series
 Date Published: June 1999
 availability: Available
 format: Paperback
 isbn: 9780521658881
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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 uptodate survey of research in this area.
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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 Kunimodal 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 imagecomputing spectral sequence K. A. Houston
18. On the classification and geometry of Corank 1 mapgerms from 3space to 4space K. A. Houston and N. P. Kirk
19. Multiplicities of zeroschemes in quasihomogeneous Corank1 singularities W. L. Marar, J. A. Montaldi and M. A. S. Ruas
20. Butterflies and umbilics of stable perturbations of analytic mapgerms 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.
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