Abstract:Let $f: X \to X$ be a polarized endomorphism of a smooth projective surface which is birationally ruled. We answer a question of Kollár and Zhuang, in the affirmative, on the incompressibility of $f$, under the assumption that $f$ is Galois and an explicit lower bound of deg$(f)$ depending only on $X$. We also give examples showing the optimality of such a lower bound.
From: Yujie Luo [view email]
[v1]
Tue, 23 Jun 2026 03:33:26 UTC (24 KB)
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