Lower bounds for genera of fiber products (2201.08231v5)

Published 20 Jan 2022 in math.CV, math.AG, math.DS, and math.NT

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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Authors (1)

Fedor Pakovich

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