Tohoku Mathematical Journal
2004

September
SECOND SERIES VOL. 56, NO. 3

Tohoku Math. J.
56 (2004), 341-355

Title AUTOMORPHISMS OF A SURFACE OF GENERAL TYPE ACTING TRIVIALLY IN COHOMOLOGY

Author Jin-Xing Cai

(Received November 19, 2002, revised May 13, 2003)
Abstract. It is proved that, for a complex minimal smooth projective surface $S$ of general type, any automorphism group of $S$, inducing trivial actions on the second rational cohomology of $S$, is isomorphic to a cyclic group of order less than five or the product of two groups of order two, provided that the Euler characteristic of the structure sheaf of $S$ is larger than 188.

2000 Mathematics Subject Classification. Primary 14J50; Secondary 14J29.

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