Xiankun Du

activity

20112022

most citedPolynomial maps with invertible sums of Jacobian matrices and of directional Derivatives

4 citations · 10 across the 8 of their papers we have counts for

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2 papers · 1 filter

math.AC2011★ 3 cited

Tame automorphisms with multidegrees in the form of arithmetic progressions

Jiantao Li, Xiankun Du

Let $(a, a + d, a + 2 d)$ be an arithmetic progression of positive integers. The following statements are proved: (1) If $a ∣ 2 d$ , then $(a, a+d, a+2d)\in\mdeg(\Tame(\mathbb{C}^3))$. (2…

math.AC2011★ 4 cited

Polynomial maps with invertible sums of Jacobian matrices and of directional Derivatives

Hongbo Guo, Michiel de Bondt, Xiankun Du +1

Let $F : C^{n} \to C^{m}$ be a polynomial map with $d e g F = d \geq 2$ . We prove that $F$ is invertible if $m = n$ and $\sum_{i = 1}^{d - 1} J F (α_{i})$ is invertible for all $i$ , which is…