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math.AG2018
Inverse Galois problem for del Pezzo surfaces over finite fields
Daniel Loughran, Andrey Trepalin
We completely solve the inverse Galois problem for del Pezzo surfaces of degree and over all finite fields.
math.AG2018
Arithmetic hyperbolicity and a stacky Chevalley-Weil theorem
Ariyan Javanpeykar, Daniel Loughran
We prove an analogue for algebraic stacks of Hermite-Minkowski's finiteness theorem from algebraic number theory, and establish a Chevalley-Weil type theorem for integral points on…