Lower bounds for genera of fiber products
Complex Variables
2025-05-20 v5 Algebraic Geometry
Dynamical Systems
Number Theory
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 where and are rational functions.
Keywords
Cite
@article{arxiv.2201.08231,
title = {Lower bounds for genera of fiber products},
author = {Fedor Pakovich},
journal= {arXiv preprint arXiv:2201.08231},
year = {2025}
}
Comments
The final version, published in Israel J. Math