Composite Genus One Belyi Maps

作者: Yang-Hui He , Yang-Hui He , Yang-Hui He , Raimundas Vidunas

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摘要: Motivated by a demand for explicit genus 1 Belyi maps from theoretical physics, we give an efficient method of explicitly computing one (1) composing covering elliptic curves to the Riemann sphere with simpler (univariate) zero maps, as well (2) further isogenies between curves. This gives many new dessins on doubly periodic plane, including several which have been realized in physics literature so-called brane-tilings context quiver gauge theories.

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