Lower bounds for genera of fiber products

Autor:	Pakovich, Fedor
Rok vydání:	2022
Předmět:	Mathematics - Complex Variables Mathematics - Algebraic Geometry Mathematics - Dynamical Systems Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: The final version, to appear in Israel J. Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.08231 Zobrazit plný text záznamu View this record from Arxiv