Junyi Xie

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20242026

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math.AG2025

Tate's question, Standard conjecture D, semisimplicity and Dynamical degree comparison conjecture

Fei Hu, Tuyen Trung Truong, Junyi Xie

Let $X$ be a smooth projective variety of dimension $n$ over the algebraic closure of a finite field $F_{p}$ . Assuming the standard conjecture $D$ , we prove a weaker form of…

math.DS2025

Numerical action for endomorphisms

Junyi Xie

Let $f : X \to X$ be a surjective endomorphism of a projective variety of dimension $d$ . The aim of this paper is to study the action of $f$ on the numerical group of divisors. For e…