The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Abstract
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus g∈ [2/3,1) that are defined using generalized Fermat equations, extending a result of Darmon and Granville. We then apply our methods to find that a positive proportion of curves in our family satisfy the integral Hasse principle.
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