Singularities

ISBN-13: 9780521466318 / Angielski / Miękka / 1994 / 436 str.

Jean-Paul Brasselet; Jean-Paul Brasselet

Opis

Singularity theory encompasses many different aspects of geometry and topology, and an overview of these is represented here by papers given at the International Singularity Conference held in 1991 at Lille. The conference attracted researchers from a wide variety of subject areas, including differential and algebraic geometry, topology, and mathematical physics. Some of the best known figures in their fields participated, and their papers have been collected here. Contributors to this volume include G. Barthel, J.W. Bruce, F. Delgado, M. Ferrarotti, G.M. Greuel, J.P. Henry, L. Kaup, B. Lichtin, B. Malgrange, D. Mond, L. Narvaez, V. Neto, A.A. Du Plessis, R. Thom and M. Vaquie.

Spis treści

1. On complex projective hypersurfaces which are homology-Pn's G. Barthel and A. Dimca; 2. Generic geometry and duality J. W. Bruce; 3. An arithmetic factorization for the critical point set of some map germs F. Delgado; 4. Trivialisations of stratified spaces with bounded differential M. Ferrarotti; 5. Moduli for singularities G. M. Greuel and G. Pfister; 6. Conormal spaces and Jacobian modules J. P. Henry and M. Merle; 7. Weak Lefschetz and topological q-completeness L. Kaup; 8. Volumes and lattice points B. Lichtin; 9. Connexions meromorphes B. Malgrange; 10. Deformations of maps on complete intersections D. Mond and J. Montaldi; 11. Cycles évanescents et faiseaux pervers II L. Narvaez-Macarro; 12. A desingularization theorem for systems of microdifferential equations O. Neto; 13. Topological stability A. Du Plessis and C. T. C. Wall; 14. Boundary fronts and caustics and their metamorphoses I. Scherback; 15. Quid des stratifications canoniques R. Thom; 16. Irrégularité des revêtements cycliques M. Vaquié.