Year: 2025
Type: preprint
Abstract: Over an algebraically closed field $\mathbb{F}$ of zero characteristic polynomial map $ξ: \mathbb{F}^n\rightarrow \mathbb{F}^n$ of the form $ξ(x)=x-((xA_1)^{3}, (xA_2)^{3},..., (xA_n)^{3})$, where $x=(x_1,x_2,...,x_n)$ a row vector of variables, $A_i\in \mathbb{F}^n$ are column vectors, is considered. It is shown that if $\det(\partialξ(x))=1$, then $ξ$ is injective.
Source: arXiv (Cornell University)
Author: Bekbaev, U.
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4417086710
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