3 papers
math.AG2020
The Lang-Vojta conjectures on projective pseudo-hyperbolic varieties
Ariyan Javanpeykar
These notes grew out of a mini-course given from May 13th to May 17th at UQAM in Montreal during a workshop on Diophantine Approximation and Value Distribution Theory. We start wit…
math.AG2019
Finiteness properties of pseudo-hyperbolic varieties
Ariyan Javanpeykar, Junyi Xie
Motivated by Lang-Vojta's conjecture, we show that the set of dominant rational self-maps of an algebraic variety over a number field with only finitely many rational points in any…
math.AG2016
Belyi's theorem for complete intersections of general type
Ariyan Javanpeykar
We give a Belyi-type characterisation of smooth complete intersections of general type over which can be defined over . Our proof uses the higher-dim…