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VOL. 60 | 2010 Automorphisms of an irregular surface with low slope acting trivially in cohomology
Jin-Xing Cai

Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso

## Abstract

Let $S$ be a complex minimal nonsingular projective irregular surface of general type with $K_S^2 \leq 4_{\mathcal{X}} (\mathcal{O_S})$ and ${}_\mathcal{X} (\mathcal{O_S}) \gt 12$. Then the group of automorphisms of $S$ acts faithfully on the cohomology ring $H^* (S, \mathbb{Q})$ with the exceptional case that $S$ is as in [Ca3, Theorem 2.5].

## Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1214.14034
MathSciNet: MR2732094

Digital Object Identifier: 10.2969/aspm/06010183

Subjects:
Primary: 14J50
Secondary: 14J29