This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Arnold, V. I. Wave front evolution and equivariant Morse lemma, Comm. Pure App. Math. 29 (1976), 557–582.
Bruce, J.W. Functions on Discriminants, Jour. London Math. Soc. 30 (1984), 551–567
Damon, J. The unfolding and determinacy theorems for subgroups of A and K Proc. Sym. Pure Math. 40 (1983) 233–254.
The unfolding and determinacy theorems for subgroups of A and K Memoirs A.M.S. 50, no. 306 (1984).
— Deformations of sections of singularities and Gorenstein surface singularities, Amer. J. Math. 109 (1987) 695–722.
Damon, J. and Galligo, A. Universal Topological Stratification for the Pham Example, preprint.
du Plessis, A. On the genericity of topologically finitely determined map germs, Topology 21 (1982), 131–156
Greuel, G-M. Der Gauss-Manin Zushammenhang isolierter Singularitaten von vollstandigen Durchschnitten, Math. Ann. 214 (1975), 235–266.
de Jong, T. and van Straten, D. Disentanglements, These Proceedings.
Lê D.T. Calculation of the Milnor number of Isolated Singularities of Complete Intersection. Func. Analysis and Appl. 8 (1974), 127–131.
Mather, J. Stability of C ∞-mappings: II. Infinitesimal stability implies stability, Ann. of Math. (2) 89 (1969), 254–291
III. Finitely determined map germs, Inst. Hautes Etudes Sci. Publ. Math. 36 (1968), 127–156
IV. Classification of stable germs byR-algebras, Inst. Hautes Etudes Sci. Publ. Math. 37 (1969), 223–248.
V. Transversality, Advances in Math. 4 (1970), 301–336.
Mather, J. How to stratify mappings and jet spaces, in Singularités d'Applications Differentiables, Plans-sur-Bex, Lectures Notes in Math., vol. 535, Springer-Verlag, Berlin and New York, (1975), 128–176
Martinet, J. Deploiements versels des applications differentiables et classification des applications stables, Singularités d'Applications Differentiables, Plans-Sur-Bex, Springer Lecture Notes 535 (1975) 1–44.
— Deploiements stables des germs de type fini et determination fini des applicationsdifferentiables (1976), preprint.
Marar, W. and Mond, D. Multiple point schemes for corank 1 maps, Jour. London Math. Soc. 39 (1989), 553–567
Mond, D. On the classification of of germs of maps from IR2 to IR3, Proc. London Math. Soc. (3) 50 (1985), 333–369.
Mond, D. Some remarks on the geometry and classification of germs of maps from surfaces to 3-space, Topology 26 (1987), 361–383.
Saito, K. Theory of logarithmic differential forms and logarithmic vector fields, J. Fac, Sci. Univ. Tokyo Sect. Math. 27 (1980), 265–291.
Terao, H. Discriminant of a holomorphic map and logarithmic vector fields, J. Fac. Sci. Univ. Tokyo Sect. Math. 30 (1983), 379–391.
Teissier, B. Cycles évanescents, sections planes, et conditions de Whitney, Singularités à Cargèse, Asterisque 7,8 (1973), 285–362.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Damon, J. (1991). 
- equivalence and the equivalence of sections of images and discriminants.
In: Mond, D., Montaldi, J. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1462. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086377
Download citation
DOI: https://doi.org/10.1007/BFb0086377
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53737-3
Online ISBN: 978-3-540-47060-1
eBook Packages: Springer Book Archive