Belyi Pairs and Fried Families
- Авторы: Shabat G.1
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Учреждения:
- Russian State University for the Humanities
- Выпуск: Том 307, № 1 (2019)
- Страницы: 281-293
- Раздел: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175962
- DOI: https://doi.org/10.1134/S0081543819060178
- ID: 175962
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Аннотация
For the rational functions on algebraic curves, the number of critical values typical for the Belyi functions is three. This number is replaced by four. The emerging objects, unlike the rigid Belyi pairs, can be deformed; they constitute one-parameter families. The main properties of the corresponding curves in the moduli spaces are established, and the relation of these curves to the Belyi pairs is considered. The case of the clean Belyi pairs of genus 2 of minimal degree 8 is analyzed.
Об авторах
G. Shabat
Russian State University for the Humanities
Автор, ответственный за переписку.
Email: george.shabat@gmail.com
Россия, Miusskaya pl. 6, Moscow, 125993