Remarks about uniform boundedness of rational points over function fields

Mathematics – Algebraic Geometry

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Major changes and additions. Error in section 2 and its consequences eliminated

Scientific paper

We prove a few uniform versions of the Mordell-Lang Conjecture and of the
Shafarevich Conjecture for curves over function fields and their rational
points. The main focus is on function fields having high transcendence degree
over the complex numbers.

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