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arXiv · 2402.16826

Belyi maps from zeroes of hypergeometric polynomials

Raimundas Vidunas
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Abstract

Evaluation of low degree hypergeometric polynomials to zero defines an algebraic hypersurface in the affine space of the free parameters and the argument. This article investigates the algebraic surfaces 2F1(-N,b;c;z)=0 for N=3 and N=4. As a captivating application, these surfaces parametrize certain families of genus 0 Belyi maps.

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Raimundas Vidunas. 2024-02-26. Belyi maps from zeroes of hypergeometric polynomials. https://doi.org/10.3390/math13010156

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