Linear bound for abelian automorphisms of varieties of general type

Details Linear bound for abelian automorphisms of varieties of general type Linear bound for abelian automorphisms of varieties of general type

1995-02-27

arxiv.org/abs/alg-geom/9502025v1

Mathematics

Algebraic Geometry

6 pages plain TeX

Scientific paper

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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