Torsion points on modular curves and Galois Theory

Abstract

In contrast to the geometric theory, where the different kinds of number pairs (x, y) that can occur as solutions are viewed as homogeneous, the arithmetic b g gggj b b bbstudy classifies more carefully the structure of solutions of specific type. That is, one tries to understand the solutions to the equation (*) where (x, y) are constrained to lie in some… (More)

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