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Mathematics > Complex Variables

arXiv:2201.08231 (math)
[Submitted on 20 Jan 2022 (v1), last revised 30 Oct 2023 (this version, v4)]

Title:Lower bounds for genera of fiber products

Authors: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.
Comments: The final version, to appear in Israel J. Math
Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Dynamical Systems (math.DS); Number Theory (math.NT)
Cite as: arXiv:2201.08231 [math.CV]
  (or arXiv:2201.08231v4 [math.CV] for this version)
  https://doi.org/10.48550/arXiv.2201.08231

Submission history

From: Fedor Pakovich [view email]
[v1] Thu, 20 Jan 2022 15:36:43 UTC (17 KB)
[v2] Tue, 20 Dec 2022 15:17:05 UTC (16 KB)
[v3] Wed, 27 Sep 2023 07:10:02 UTC (18 KB)
[v4] Mon, 30 Oct 2023 14:13:38 UTC (18 KB)
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