24 citations · 25 across the 4 of their papers we have counts for
3 papers
math.NT2021★ 1 cited
Finiteness of non-constant maps over number fields
Ariyan Javanpeykar
Motivated by the intermediate Lang conjectures on hyperbolicity and rational points, we prove new finiteness results for non-constant morphisms from a fixed variety to a fixed vari…
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…
math.AG2014★ 24 cited
Polynomial bounds for Arakelov invariants of Belyi curves
Ariyan Javanpeykar, Peter Bruin
We explicitly bound the Faltings height of a curve over Q polynomially in its Belyi degree. Similar bounds are proven for three other Arakelov invariants: the discriminant, Falting…