Author

Álvaro Castañeda

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Preprint Aug 2026

The weak Markus--Yamabe conjecture fails in dimension 14

We show that the weak Markus--Yamabe conjecture fails in every dimension $n\geq14$. We first prove a chain realization theorem: every polynomial Keller map $F=\I+H$ of $\R^n$ with component degrees $d_1,\ldots,d_n$ yields an explicit polynomial vector field on $\R^N$, with $N=\sum_i\max(d_i,2)-n$, whose Jacobian matrix...

Álvaro Castañeda, Gerardo Honorato, Francisco Valenzuela-Henríquez · 1 citation