17 citations · 64 across the 22 of their papers we have counts for
4 papers · 1 filter
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.
Number fields with prescribed norms
Christopher Frei, Daniel Loughran, Rachel Newton +2
We study the distribution of extensions of a number field with fixed abelian Galois group , from which a given finite set of elements of are norms. In particular, we sho…
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…
Integral Hasse principle and strong approximation for Markoff surfaces
Daniel Loughran, Vladimir Mitankin
We study the failure of the integral Hasse principle and strong approximation for Markoff surfaces, as studied by Ghosh and Sarnak, using the Brauer-Manin obstruction.