Lower bounds for genera of fiber products

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.

The final version, published in Israel J. Math

References in corpus (2)

• Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
• Genus one factors of curves defined by separated variable polynomials