25 citations · 111 across the 35 of their papers we have counts for
Showing 2015 · math.AGShow all
3 papers · 2 filters
math.AG2015★ 1 cited
An effective Arakelov-theoretic version of the hyperbolic isogeny theorem
Ariyan Javanpeykar
For an integer and hyperbolic curve over , Mochizuki showed that there are only finitely many isomorphism classes of hyperbolic curves of Euler ch…
math.AG2015
The moduli of smooth hypersurfaces with level structure
Ariyan Javanpeykar, Daniel Loughran
We construct the moduli space of smooth hypersurfaces with level structure over . As an application we show that, for large enough, the stack of smooth hyp…
math.AG2015
Complete intersections: Moduli, Torelli, and good reduction
Ariyan Javanpeykar, Daniel Loughran
We study the arithmetic of complete intersections in projective space over number fields. Our main results include arithmetic Torelli theorems and versions of the Shafarevich conje…