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 2021Show all

2 papers · 1 filter

math.NT2021★ 3 cited

Every finite abelian group is the group of rational points of an ordinary abelian variety over $F_{2}$ , $F_{3}$ and $F_{5}$

Stefano Marseglia, Caleb Springer

We show that every finite abelian group $G$ occurs as the group of rational points of an ordinary abelian variety over $F_{2}$ , $F_{3}$ and $F_{5}$ . We produce…

math.NT2021

Doubly isogenous genus-2 curves with $D_{4}$ -action

Vishal Arul, Jeremy Booher, Steven R. Groen +5

We study the extent to which curves over finite fields are characterized by their zeta functions and the zeta functions of certain of their covers. Suppose C and C' are curves over…

Every finite abelian group is the group of rational points of an ordinary abelian variety over F2​, F3​ and F5​

Doubly isogenous genus-2 curves with D4​-action

Every finite abelian group is the group of rational points of an ordinary abelian variety over $F_{2}$ , $F_{3}$ and $F_{5}$

Doubly isogenous genus-2 curves with $D_{4}$ -action