### Abstract

Original language | English |
---|---|

Pages (from-to) | 69-82 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 103 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1988 |

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### Cite this

*Mathematical Proceedings of the Cambridge Philosophical Society*,

*103*(1), 69-82. https://doi.org/10.1017/S030500410006463X

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*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 103, no. 1, pp. 69-82. https://doi.org/10.1017/S030500410006463X

**Stable mappings of discriminant varieties.** / Bruce, J.W.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Stable mappings of discriminant varieties

AU - Bruce, J.W.

PY - 1988

Y1 - 1988

N2 - Smooth mappings defined on discriminant varieties of -versal unfoldings of isolated singularities arise in many interesting geometrical contexts, for example when classifying outlines of smooth surfaces in 3 and their duals, or wave-front evolution [1, 2, 5]. In three previous papers we have classified various stable mappings on discriminants. When the isolated singularity is weighted homogeneous the discriminant is not a local smooth product, and this makes the classification of stable germs considerably easier than in general. Moreover, discriminants arising from weighted homogeneous singularities predominate in low dimensions, so such classifications are very useful for applications.

AB - Smooth mappings defined on discriminant varieties of -versal unfoldings of isolated singularities arise in many interesting geometrical contexts, for example when classifying outlines of smooth surfaces in 3 and their duals, or wave-front evolution [1, 2, 5]. In three previous papers we have classified various stable mappings on discriminants. When the isolated singularity is weighted homogeneous the discriminant is not a local smooth product, and this makes the classification of stable germs considerably easier than in general. Moreover, discriminants arising from weighted homogeneous singularities predominate in low dimensions, so such classifications are very useful for applications.

U2 - 10.1017/S030500410006463X

DO - 10.1017/S030500410006463X

M3 - Article

VL - 103

SP - 69

EP - 82

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -