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

DOI10.1216/RMJ.2022.52.365arXiv2104.03359WikidataQ114059425 ScholiaQ114059425MaRDI QIDQ6364768

Kejia Zhu

Publication date: 7 April 2021

Abstract: Let $pi:XoY$ 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 $p{i}_1(X)$ 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.

Mathematics Subject Classification ID

Fiber bundles in algebraic topology (55R10) Fiberings with singularities in algebraic topology (55R55)

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