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Linear bound for abelian automorphisms of varieties of general type

Gang Xiao
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Abstract

We prove: Let $G$ be a finite abelian group acting faithfully on a complex smooth project variety $X$ of general type with numerically effective canonical divisor, of dimension $n$. Then $$|G| \le C(n)K_X^n ,$$ where $C(n)$ depends only on $n$.

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Gang Xiao. 1995-02-27. Linear bound for abelian automorphisms of varieties of general type. https://arxiv.org/abs/alg-geom/9502025

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