Bounds for the order of automorphism groups of cyclic covering fibrations of an elliptic surface

Abstract

We study automorphism groups of fibered surfaces for finite cyclic covering fibrations of an elliptic surface. We estimate the order of a finite subgroup of automorphism groups in terms of the genus of the fiber, the genus of the base curve, the covering degree and the square of the relative canonical divisor.

39 pages, accepted by J. Math Sci. Univ. Tokyo