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Remarks about uniform boundedness of rational points over function fields

Lucia Caporaso

Published 2000-04-12, updated 2000-12-06Version 2

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.

Comments: Major changes and additions. Error in section 2 and its consequences eliminated
Categories: math.AG
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