Abelian Automorphism Groups of 3-folds of General Type
نویسندگان
چکیده
This paper is devoted to the study of abelian automorphism groups of surfaces and 3-folds of general type over complex number field C. We obtain a linear bound in K3 for abelian automorphism groups of 3-folds of general type whose canonical divisor K is numerically effective, and we improve on Xiao’s results on abelian automorphism groups of minimal smooth projective surfaces of general type. More precisely, the main results in this paper are the following. Theorem 3.0. Let X be a smooth 3-fold of general type over the complex number field, and KX the canonical divisor of X. Let G be an abelian group of automorphisms of X (i.e. G ⊂ Aut(X)). Suppose K is nef. Then there exists a universal constant coefficient c such that
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تاریخ انتشار 1995