## Journal of the Mathematical Society of Japan

### On polynomial mappings from the plane to the plane

#### Abstract

Let $f:{\mathbb R}^2\longrightarrow {\mathbb R}^2$ be a generic polynomial mapping. There are constructed quadratic forms whose signatures determine the number of positive and negative cusps of $f$.

#### Article information

Source
J. Math. Soc. Japan, Volume 66, Number 3 (2014), 805-818.

Dates
First available in Project Euclid: 24 July 2014

https://projecteuclid.org/euclid.jmsj/1406206973

Digital Object Identifier
doi:10.2969/jmsj/06630805

Mathematical Reviews number (MathSciNet)
MR3238318

Zentralblatt MATH identifier
1329.14107

Subjects
Primary: 14P99: None of the above, but in this section
Secondary: 58K05: Critical points of functions and mappings

Keywords
singularities cusps

#### Citation

KRZYŻANOWSKA, Iwona; SZAFRANIEC, Zbigniew. On polynomial mappings from the plane to the plane. J. Math. Soc. Japan 66 (2014), no. 3, 805--818. doi:10.2969/jmsj/06630805. https://projecteuclid.org/euclid.jmsj/1406206973

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