Xiaosong Sun

activity

20112025

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

4 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.AG2025

Dynamical degrees of affine-triangular automorphisms in dimension four

Enbo Shao, Xiaosong Sun

In this paper, let k be the affine n-space over an arbitrary field k. We show that dynamical degrees of affine-triangular automorphisms in dimension 4 are algebraic integers of deg…

math.AG2024

Isomorphism classes and stably isomorphisms of double Danielewski varieties

Xiaosong Sun, Shuai Zeng

The interest in Danielewski varieties arose from the study of the Cancellation Problem. In this paper, we study the isomorphism classes and stably isomorphisms of double Danielewsk…

math.AG2023

On double Danielewski varieties

Xiaosong Sun, Shuai Zeng

In this paper, we study the double Danielewski varieties which arose from the research on the classical Cancellation Problem. We describe the Makar-Limanov invariant and locally ni…

math.AG2018

Quadratic homogeneous polynomial maps $H$ and Keller maps $x + H$ with $r k J H = 3$

Michiel de Bondt, Xiaosong Sun

We classify all quadratic homogeneous polynomial maps $H$ and Keller maps of the form $x + H$ , for which $r k J H = 3$ , over a field $K$ of arbitrary characteristic. In particular,…

math.AG2018

Classification of cubic homogeneous polynomial maps with Jacobian matrices of rank two

Michiel de Bondt, Xiaosong Sun

Let $K$ be any field with $char K \neq = 2, 3$ . We classify all cubic homogeneous polynomial maps $H$ over $K$ with $rk J H \leq 2$ . In particular, we show that, for suc…

math.AG2018

A case of the generalized vanishing conjecture

Zhenzhen Feng, Xiaosong Sun

In this paper, we show that the GVC (generalized vanishing conjecture) holds for the differential operator $Λ = (\partial_{x} - Φ (\partial_{y})) \partial_{y}$ and all polynomials $P (x, y)$ , wh…

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…

Dynamical degrees of affine-triangular automorphisms in dimension four

Isomorphism classes and stably isomorphisms of double Danielewski varieties

On double Danielewski varieties

Quadratic homogeneous polynomial maps H and Keller maps x+H with rkJH=3

Classification of cubic homogeneous polynomial maps with Jacobian matrices of rank two

A case of the generalized vanishing conjecture

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

Quadratic homogeneous polynomial maps $H$ and Keller maps $x + H$ with $r k J H = 3$