This is a preview of subscription content, log in via an institution to check access.
References
Arnol'd, V.I.: Wave front evolution and equivariant Morse lemma. Comm. Pure Appl. Math.29, 557–582 (1976)
Arnol'd, V.I.: Critical points of functions on manifolds with boundary. Russ. Math. Surv.33, 99–116 (1978)
Bierstone, E.: Generic equivariant maps. In: Real and complex singularities: Oslo 1976, ed. P. Holm, Alphen: Sijthoff and Noordhoff 1977
Bruce, J.W., du Plessis, A.A., Wall, C.T.C.: Determinacy and unipotency. Preprint
Damon, J.: The unfolding and determinacy theorems for subgroups ofA andK Proc. Pure Math.40, 233–254 (1983)
Gaffney, T.: Properties of finitely determined germs. Thesis, Brandeis Univ. 1975
Golubitsky, M., Schaeffer, D.: Imperfect bifurcation in the presence of symmetry. Commun. Math. Phys.67, 203–232 (1979)
Hochschild, G.: The structure of Lie groups. San Francisco, London, Amsterdam: Holden-Day 1965
Hochschild, G., Mostow, G.D.: Representations and representative functions of Lie groups. III. Ann. Math.70, 85–100 (1959)
Hümmel, A.: Bifurcations of periodic points. Thesis, Gröningen Univ. 1979
Izumiya, S.: Stability of G-unfoldings. Hokkaido Math. J.9, 31–45, (1980)
Izumiya, S.: Notes on stable equivariant map germs. Math. J. Okayama Univ.24, 167–178 (1982)
Mather, J.N.: Stability ofC ∞ mappings. I. The division theorem. Ann. Math.87, 89–104 (1968); II. Infinitesimal stability implies stability. Ann. Math.89, 259–291 (1969); III. Finitely determined map germs. Publ. Math. IHES35, 127–156 (1969); IV. Classification of stable germs byℝ-algebras, Publ. Math. IHES37, 223–248 (1970); V. Transversality Adv. Math.4, 301–335 (1970); VI. The nice dimensions. In: Lect. Notes Math. 192. Berlin, Heidelberg, New York: Springer 1971
Poenaru, V.: SingularitésC ∞ en présence de symétrie. Lect. Notes Math.510. Berlin, Heidelberg, New York: Springer 1976
Roberts, R.M.: A note on coherent G-sheaves. Math. Ann.275, 573–582 (1986)
Roberts, R.M.: On the genericity of some properties of equivariant map germs. J. Lond. Math. Soc.32, 177–192 (1985)
Siersma, D.: Singularities of functions on boundaries, corners, etc. Quart. J. Math.32, 119–127 (1981)
Slodowy, P.: Einige Bemerkungen zur Entfaltung symmetrischer Funktionen. Math. Z.158, 157–170 (1978)
Snow, D.M.: Reductive group actions on Stein spaces. Math. Ann.259, 79–97 (1982)
Thom, R.: Stabilité structurelle et morphogénèse. New York: Benjamin 1972
Wall, C.T.C.: A second note on symmetry of singularities. Bull. London Math. Soc.12, 347–354 (1980)
Wall, C.T.C.: Finite determinacy of smooth map germs. Bull. Lond. Math. Soc.13, 481–539 (1981)
Wall, C.T.C.: Equivariant jets. Math. Ann.272, 41–65 (1985)
Wall, C.T.C.: Survey of recent results on singularities of equivariant maps. Preprint, University of Liverpool 1985
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Roberts, M. Characterisations of finitely determined equivariant map germs. Math. Ann. 275, 583–597 (1986). https://doi.org/10.1007/BF01459139
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01459139