Period matrices of some hyperelliptic Riemann surfaces

2021/12/27 by Shinomiya, Yoshihiko
#32G15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Primary 32G20 #Secondary 14H40

paper · doi:10.48550/arxiv.2112.13599

Abstract

In this paper, we calculate period matrices of algebraic curves defined by w²=z(z²-1)(z²-a₁²)(z²-a₂²)⋯ (z²-a_g-1²) for any g≥ 2 and a₁, a₂, …, a_g-1∈ ℝ with 1

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