Bounds on degrees of covers with injective monodromy in iterated Kodaira Fibrations

Kejia Zhu

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arXiv · 2104.03359

Bounds on degrees of covers with injective monodromy in iterated Kodaira Fibrations

Kejia Zhu

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Abstract

Let $\pi:X\to Y$ be an $n$-dimensional iterated Kodaira fibration with fiber of genus $g$ and injective monodromy. Llosa Isenrich and Py proved that we can pass to a finite index subgroup of $\pi_1(X)$ to get the base space of an n+1-dimensional iterated Kodaira fibration with injective monodromy and they asked about bounding the index of such a group. We provide a bound on this index.

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Kejia Zhu. 2021-04-07. Bounds on degrees of covers with injective monodromy in iterated Kodaira Fibrations. https://arxiv.org/abs/2104.03359

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