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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…