Tohoku Mathematical Journal
2012
December
SECOND SERIES VOL. 64, NO. 4

Tohoku Math. J.
64 (2012), 593-605

Title AUTOMORPHISMS OF AN IRREGULAR SURFACE OF GENERAL TYPE ACTING TRIVIALLY IN COHOMOLOGY, II

Author Jin-Xing Cai

(Received January 16, 2012, revised May 7, 2012)
Abstract. Let $S$ be a complex nonsingular minimal projective surface of general type with $q(S)=2$, and let $G$ be the group of the automorphisms of $S$ acting trivially on $H^2(S, \boldsybmol{Q})$. In this note we classify explicitly pairs $(S, G)$ with $G$ of order four.

2000 Mathematics Subject Classification. Primary 14J50; Secondary 14J29.
Key words and phrases. Surfaces of general type, automorphism groups, cohomology.

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