### Abstract

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

Pages (from-to) | 265-272 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 88 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1980 |

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*Mathematical Proceedings of the Cambridge Philosophical Society*, vol. 88, no. 2, pp. 265-272. https://doi.org/10.1017/S030500410005756X

**Canonical stratifications of functions: the simple singularities.** / Bruce, Bill.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Canonical stratifications of functions: the simple singularities

AU - Bruce, Bill

PY - 1980

Y1 - 1980

N2 - In this paper we shall describe that part of the canonical stratification of a versal unfolding of a function germ which deals with simple singularities. These results are doubtless known to many workers in this field; see especially the papers of E. J. N. Looijenga (e.g. (12)). We fill in the details however since we have in mind some geometrical applications (given in § 2) concerning natural partitions of the spaces of binary forms, cubic surfaces and quartic curves. The first two stratifications were considered in the author's Liverpool Ph.D. thesis; the quartic curves were considered in the Liverpool thesis of C. M. Hui, where the results were obtained by specific calculation. See (4) for an illustration of the techniques employed in these theses.

AB - In this paper we shall describe that part of the canonical stratification of a versal unfolding of a function germ which deals with simple singularities. These results are doubtless known to many workers in this field; see especially the papers of E. J. N. Looijenga (e.g. (12)). We fill in the details however since we have in mind some geometrical applications (given in § 2) concerning natural partitions of the spaces of binary forms, cubic surfaces and quartic curves. The first two stratifications were considered in the author's Liverpool Ph.D. thesis; the quartic curves were considered in the Liverpool thesis of C. M. Hui, where the results were obtained by specific calculation. See (4) for an illustration of the techniques employed in these theses.

U2 - 10.1017/S030500410005756X

DO - 10.1017/S030500410005756X

M3 - Article

VL - 88

SP - 265

EP - 272

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 2

ER -