论文标题
飞机上的一类新的非注射多项式局部差异性
A new class of non-injective polynomial local diffeomorphisms on the plane
论文作者
论文摘要
在此简短说明中，我们提供了一个示例，其迄今为止已知的最低程度是非注射局的局部多项式差异形态$ f =（p，q）：\ mathbb {r}^2 \ to \ mathbb {r}^2 $。在我们的示例中，$ p $具有$ 10 $，$ q $具有$ 15 $，而不是$ 10 $和$ 25 $，现在是$ f $的坐标的最小学位。我们的建筑是基于S. Pinchuk庆祝了真正的Jacobian猜想的反例。
In this short note we provide the example with the lowest degree known so far of a non-injective local polynomial diffeomorphism $F=(p,q):\mathbb{R}^2 \to \mathbb{R}^2$. In our example $p$ has degree $10$ and $q$ has degree $15$, rather than $10$ and $25$, respectively, known up to now as the smallest degrees for the coordinates of $F$. Our construction was based on S. Pinchuk celebrated counterexample to the real Jacobian conjecture.
