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arXiv · 2208.05638

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

Hiroto Akaike
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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.

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Hiroto Akaike. 2022-08-11. Bounds for the order of automorphism groups of cyclic covering fibrations of an elliptic surface. https://arxiv.org/abs/2208.05638

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