Singularity Theory (London Mathematical Society Lecture Note Ser: LMS, No. 263)
著者紹介
内容
目次
Part I. Complex Singularities: 1. Singularities arising from latticepolytopes K. Altmann; 2. Critical points of affine multiforms on thecomplement of arrangements J. N. Damon; 3. Strange duality, mirror symmetryand the Leech lattice W. Ebeling; 4. Geometry of equisingular families ofcurves G.-M. Greuel and E. Shustin; 5. Arrangements, KZ systems and Liealgebra homology E. J. N. Looijenga; 6. The signature of f(x,y) +zN A.Nemethi; 7. Spectra of K-unimodal isolated singularities of completeintersections J. M. Steenbrink; 8. Dynkin graphs, Gabrielov graphs andtriangle singularities T. Urabe; Part II. Stratifications and EquisingularityTheory: 9. Differential forms on singular varieties and cyclic homology J. P.Brasselet and Y. Legrand; 10. Continuous controlled vector fields A. A. duPlessis; 11. Finiteness of Mather's canonical stratification A. A. duPlessis; 12. Trends in equisingularity theory T. J. Gaffney and D. Massey;13. Regularity at infinity of real and complex polynomial maps M. Tibar; PartIII. Global Singularity Theory: 14. A Bennequin number estimate fortransverse knots V. V. Goryunov and J. W. Hill; 15. Abelian covers of theprojective plane A. Libgober; 16. Elimination of singularities: Thompolynomials and beyond O. Saeki and K. Sukuma; Part IV. Singularities ofMappings: 17. An introduction to the image-computing spectral sequence K. A.Houston; 18. On the classification and geometry of Corank 1 map-germs from3-space to 4-space K. A. Houston and N. P. Kirk; 19. Multiplicities ofzero-schemes in quasi-homogeneous Corank-1 singularities W. L. Marar, J. A.Montaldi and M. A. S. Ruas; 20. Butterflies and umbilics of stableperturbations 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 differentialequations S. Izumiya.