2016/08/30 by David P. Roberts, Roberts, David P.
Mathematics · Physics and Astronomy · #11G32 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1608.08302
openalex publication_date 2016/08/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
The study of the moduli of covers of the projective line leads to the theory of Hurwitz varieties covering configuration varieties. Certain one-dimensional slices of these coverings are particularly interesting Belyi maps. We present systematic examples of such "Hurwitz-Belyi maps." Our examples illustrate a wide variety of theoretical phenomena and computational techniques.