Notes on trimodal singularities |
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Authors: | C T C Wall |
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Institution: | Department of Mathematical Sciences, University of Liverpool,?Liverpool L69 3BX, England. e-mail: ctcw@liverpool.ac.uk, UK
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Abstract: | Singularities of functions of modality 1 or 2 were classified by Arnold 3]. Types of those of modality 3 were listed in 14].
Here we show that these are all Newton non-degenerate in the extended sense introduced in 17], and use this fact to obtain
explicit regular bases and precise normal forms for right and for contact equivalence. This requires care since the only existing
method for non-semiquasihomogeneous germs (using Arnold's “Condition A”) does not apply to all our cases.
Received: 8 February 1999 / Revised version: 28 May 1999 |
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Keywords: | Mathematics Subject Classification (1991):32S05 32S15 32S25 |
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