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Notes on trimodal singularities (1999)

Wall, C. T. C.

Springer

Manuscripta mathematica 100 (1999), S. 131-157

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ISSN: 1432-1785

Keywords: Mathematics Subject Classification (1991):32S05, 32S15, 32S25

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s002290050232

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