| Title |
Belyi maps from zeroes of hypergeometric polynomials / |
| Authors |
Vidunas, Raimundas |
| DOI |
10.3390/math13010156 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2025, vol. 13, iss. 1, art. no. 156, p. [1-30].. eISSN 2227-7390 |
| Keywords [eng] |
Belyi map (of genus 0) ; elliptic surfaces ; Gauss hypergeometric function |
| Abstract [eng] |
The evaluation of low-degree hypergeometric polynomials to zero defines algebraic hypersurfaces in the affine space of the free parameters and the argument of the hypergeometric function. This article investigates the algebraic surfaces defined by the hypergeometric equation (Formula presented.) with (Formula presented.) or (Formula presented.). As a captivating application, these surfaces parametrize certain families of genus 0 Belyi maps. Thereby, this article contributes to the systematic enumeration of Belyi maps. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
