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On Abelian automorphism groups of fibred surfaces of small genus

Published online by Cambridge University Press:  01 March 2001

JIN-XING CAI
JIN-XING CAI
Affiliation:
School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China.
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Abstract

It is proved that, for a complex minimal smooth projective surface S of general type with a pencil of genus g = 3 or 4, any Abelian automorphism group of S is of order [les ] 12K2S + 96(g − 1), provided K2S > 8(g − 1)2, where KS is the canonical divisor of S.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 1 , January 2001 , pp. 161 - 174
Copyright
2001 Cambridge Philosophical Society

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