SCHWARZ IMAGES OF ALGEBRAIC ₃F₂

Abstract

There are infinitely many generalized hypergeometric differential equations ₃E₂(a₀, a₁, a₂; b₁, b₂; x) having the same finite irreducible primitive monodromy group. Their Schwarz images are different plane curves. In this paper, we study the degrees of these curves. We also give the defining equations of Schwarz images of the minimal degrees.