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math.NT2015
Good reduction of Fano threefolds and sextic surfaces
Ariyan Javanpeykar, Daniel Loughran
We investigate versions of the Shafarevich conjecture, as proved for curves and abelian varieties by Faltings, for other classes of varieties. We first obtain analogues for certain…
math.NT2015
Good reduction of algebraic groups and flag varieties
Ariyan Javanpeykar, Daniel Loughran
In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places. In this p…