Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T05:12:03.156Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)