Session S26 - Finite fields and applications

Friday, July 16, 11:30 ~ 11:50 UTC-3

On integral points on isotrivial elliptic curves over function fields

Ricardo Conceicao

Gettysburg College, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Let $k$ be a finite field and $L$ be the function field of a curve $C/k$. In this talk, we discuss certain arithmetical properties satisfied by integral points on elliptic curves over $L$ such that their $j$-invariant is an element of $k$. One particular result that we prove is that the number of separable $S$-integral points on a constant elliptic curve $E/L$ is bounded solely in terms of the size of $S$ and the genus of $C$.

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