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math.AG2026
A lower bound for polynomial volume growth of automorphisms of zero entropy
Fei Hu, Chen Jiang
Let be a normal projective variety of dimension , and let be a zero-entropy automorphism of . Denote by the first-degree growth rate of , so that $°_1(f^n) \as…
math.AG2024
An upper bound for polynomial volume growth of automorphisms of zero entropy
Fei Hu, Chen Jiang
Let be a normal projective variety of dimension over an algebraically closed field and an automorphism of . Suppose that the pullback $f^*|_{\mathsf{N}^1(X)_\mathbf{…