2016
DOI: 10.1090/conm/675/13599
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Criteria for Morin singularities for maps into lower dimensions, and applications

Abstract: We give criteria for Morin singularities for germs of maps into lower dimensions. As an application, we study the bifurcation of Lefschetz singularities.

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Cited by 5 publications
(3 citation statements)
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“…Note that K. Saji showed a different approach to this idea from the viewpoint of normal forms of singularities in his talk at Kobe, 2017 (similar method for singularities of surfaces are shown in [22,23,28]). Also, his papers about criteria for singularities suggest another approach [26,27].…”
Section: Introductionmentioning
confidence: 99%
“…Note that K. Saji showed a different approach to this idea from the viewpoint of normal forms of singularities in his talk at Kobe, 2017 (similar method for singularities of surfaces are shown in [22,23,28]). Also, his papers about criteria for singularities suggest another approach [26,27].…”
Section: Introductionmentioning
confidence: 99%
“…Criteria for types of Morin singularities of mappins from R m to R n (in case m = n = 2 they are folds and cusps) were presented in [9]. Moreover some results concerning the algebraic sum of cusps are contained in [2], [8], and in [3] in the complex case.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, Morin singularities are fundamental and frequently arise as singularities of maps from one manifold to another, as observed by K. Saji in [12]. Morin singularities have been studied by many authors in different contexts as [7,1,4,10,11], and more recently [6,15,18,5,2,12,14,13,9]. In particular, papers of J.M.…”
Section: Introductionmentioning
confidence: 99%