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arXiv · 2201.08231

Lower bounds for genera of fiber products

Fedor Pakovich
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Abstract

We give lower bounds for genera of components of fiber products of holomorphic maps between compact Riemann surfaces, extending results on genera of components of algebraic curves of the form $A(x)-B(y)=0,$ where $A$ and $B$ are rational functions.

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Fedor Pakovich. 2022-01-20. Lower bounds for genera of fiber products. https://doi.org/10.1007/s11856-025-2765-7

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