A. Zheng

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math.DS2026

On the DML(1) property for regular endomorphisms of affine spaces: the $G_{m}$ -case

She Yang, Aoyang Zheng

Let $f$ be a regular endomorphism of $A_{C}^{N}$ and let $C \subseteq A_{C}^{N}$ be an irreducible curve. Suppose $C$ has an infinite intersection wit…

math.DS2026

Local height arguments toward the dynamical Mordell-Lang conjecture

She Yang, Aoyang Zheng

We consider regular endomorphisms of the complex affine space with a degree gap $k$ . They are endomorphisms $f$ of $A_{C}^{N}$ of the form $f(x_1,\dots,x_N)=(f_1(…

math.DS2026

Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve

Junyi Xie, She Yang, Aoyang Zheng

We prove the dynamical Mordell-Lang conjecture for product of endomorphisms of an affine curve and a projective curve over $Q$ .

On the DML(1) property for regular endomorphisms of affine spaces: the Gm​-case

Local height arguments toward the dynamical Mordell-Lang conjecture

Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve

On the DML(1) property for regular endomorphisms of affine spaces: the $G_{m}$ -case