Author

Xiao-Kun Zhong

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Preprint Sep 2026

Bounds on automorphism groups of surfaces of general type with negative c_2

Let $k$ be an algebraically closed field of characteristic $p>0$, and let $S$ be a minimal smooth projective surface of general type over $k$. If the second Chern class satisfies $c_2(S)<0$, then the order of the automorphism group satisfies $|\mathrm{Aut}_k(S)|<2598(K_S^2)^4$, and the order of every abelian subgroup $...

Xiao-Kun Zhong · 0 citations

Preprint Sep 2026

Bound of automorphisms of fibred surfaces in positive characteristic

Let $f \colon S \rightarrow B$ be a fibred surface over an algebraically closed field $k$ of characteristic $p \geq 5$, where $S$ is a minimal smooth projective surface of general type and $B$ is a smooth projective curve of genus $b\geq 2$. We prove that the group of fibration-preserving automorphisms of $f$ has order...

Xiao-Kun Zhong · 0 citations