Caleb Springer

activity

20182026

most citedEvery finite abelian group is the group of rational points of an ordinary abelian variety over

F_{2}

F_{3}

and

F_{5}

3 citations · 11 across the 12 of their papers we have counts for

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Showing 2024 · math.NTShow all

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math.NT2024

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability

Alexandra Shlapentokh, Caleb Springer

In this paper, we study questions of definability and decidability for infinite algebraic extensions $K$ of $F_{p} (t)$ and their subrings of $S$ -integral fun…