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Density of rational points on elliptic curves and small transcendence degree
rational points elliptic curves
2010/11/19
In this paper we pursue two goals: (I) We show how Weil restrictions to real subfields can be fruitfully applied to improve transcendence results. (II) We elaborate (I) in the context of algebraic in...
Density of rational points on elliptic surfaces
Density of rational points elliptic surfaces
2010/12/9
Suppose V is a surface over a number field k that admits two elliptic fibrations. We show that for each integer d there exists an explicitly computable closed subset Z of V , not equal to V , such tha...