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Some Coble surfaces admit only Bertini involutions

arXiv Mathematics · WORLD · Mathematics · 10/28/2026, 12:00:00 AM

arXiv:2610.36072v1 Announce Type: new Abstract: In this article we show that a biregular involution $i : X \to X$ defined on an unnodal Coble surface $X$ with irreducible boundary curve $\{C\} = |- 2 K_X|$ is necessarily a lift of a Bertini involution. Then we show with counterexamples that the hypothesis of irreducibility of $C$ and unnodality of $X$ are both necessary.

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