BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

A Chabauty-Coleman bound for surfaces in abelian threefolds Pasten, Hector


We will give a bound for the number of rational points in a hyperbolic surface contained in an abelian threefold of Mordell-Weil rank $1$ over $\mathbb{Q}$. The form of the estimate is analogous to the classical Chabauty-Coleman bound for curves, although the proof uses a completely different approach. The new method concerns w-integral schemes, especially in positive characteristic. This is joint work with Jerson Caro.

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