On a modular Fermat equation

  • Jonathan Pila

    University of Oxford, UK

Abstract

We study some diophantine problems suggested by the analogy between multiplicative groups and powers of the modular curve in problems of “unlikely intersections”. We prove a special case of the Zilber–Pink conjecture for curves.

Cite this article

Jonathan Pila, On a modular Fermat equation. Comment. Math. Helv. 92 (2017), no. 1, pp. 85–103

DOI 10.4171/CMH/407