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arXiv · 2401.00183

Belyi functions of the special weighted trees of $(2,3)$-type

Nikolai M. Adrianov·Alexander M. Vatuzov
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Abstract

In this paper we calculate the Belyi functions of the weighted trees of $(2,3)$-type with primitive special edge rotation groups. There are 21 Galois orbits of these trees: 6 rational orbits, 12 orbits over quadratic fields, and three orbits over fields of degree 3, 4 and 6. The highest degree of the calculated Belyi function is 32. The calculations are performed using modular functions techniques.

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Nikolai M. Adrianov, Alexander M. Vatuzov. 2023-12-30. Belyi functions of the special weighted trees of $(2,3)$-type. https://arxiv.org/abs/2401.00183

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