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arXiv:1505.04967 [math.AG]AbstractReferencesReviewsResources

Real Jacobian mates

Janusz Gwoździewicz

Published 2015-05-19Version 1

Let $p$ be a real polynomial in two variables. We say that a polynomial $q$ is a real Jacobian mate of $p$ if the Jacobian determinant of the mapping $(p,q):\mathbb{R}^2\to\mathbb{R}^2$ is everywhere positive. We present a class of polynomials that do not have real Jacobian mates.

Categories: math.AG
Subjects: 14R15
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