Remarks about uniform boundedness of rational points over function fields

Caporaso, Lucia

doi:10.1090/S0002-9947-03-03323-3

Remarks about uniform boundedness of rational points over function fields
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Trans. Amer. Math. Soc. 355 (2003), 3475-3484 Request permission

Abstract:

We prove certain uniform versions of the Mordell Conjecture and of the Shafarevich Conjecture for curves over function fields and their rational points.

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