Canonical stratifications of functions: the simple singularities

Bill Bruce

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)265-272
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume88
Issue number2
DOIs
Publication statusPublished - 1980

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Stratification
Quartic
Singularity
Cubic Surface
Binary Forms
Curve
Unfolding
Partition

Cite this

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

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 88, No. 2, 1980, p. 265-272.

Research output: Contribution to journalArticle

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