Singularity Theory (eBook, PDF)

Proceedings of the European Singularities Conference, August 1996, Liverpool and Dedicated to C.T.C. Wall on the Occasion of his 60th Birthday
Redaktion: Bruce, W.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 3. Juni 1999
• Englisch
• ISBN-13: 9781107109148
• Artikelnr.: 39262119

Inhaltsangabe

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.