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June 2017 Criteria for singularities for mappings from two-manifold to the plane. The number and signs of cusps
Iwona Krzyżanowska, Aleksandra Nowel
Kodai Math. J. 40(2): 200-213 (June 2017). DOI: 10.2996/kmj/1499846594

Abstract

Let $M \subset \mathbf{R}^{n+2}$ be a two-dimensional complete intersection. We show how to check whether a mapping $f : M \rightarrow \mathbf{R}^2$ is 1-generic with only folds and cusps as singularities. In this case we give an effective method to count the number of positive and negative cusps of a polynomial $f$, using the signatures of some quadratic forms.

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Iwona Krzyżanowska. Aleksandra Nowel. "Criteria for singularities for mappings from two-manifold to the plane. The number and signs of cusps." Kodai Math. J. 40 (2) 200 - 213, June 2017. https://doi.org/10.2996/kmj/1499846594

Information

Published: June 2017
First available in Project Euclid: 12 July 2017

zbMATH: 06775405
MathSciNet: MR3680558
Digital Object Identifier: 10.2996/kmj/1499846594

Rights: Copyright © 2017 Tokyo Institute of Technology, Department of Mathematics

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Vol.40 • No. 2 • June 2017
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