Singularities

by Edited by Jean-Paul Brasselet

• ISBN13: 9780521466318
• ISBN10: 0521466318
• Format: Paperback
• Copyright: 1994-09-30
• Publisher: Cambridge University Press

Summary

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, M. Merle, D. Mond, L. Narvaez, V. Neto, A. A. Du Plessis, R. Thom and M. Vaquiè. Research workers in singularity theory or related subjects will find that this book contains a wealth of valuable information on all aspects of the subject.

Table of Contents

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 é

vanescents 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. Irré

gularité

des revê

tements cycliques M. Vaquié

.