Caleb Springer

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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 2025 · math.NTShow all

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math.NT2025

Isogeny graphs of abelian varieties and singular ideals in orders

Sarah Arpin, Stefano Marseglia, Caleb Springer

Famously, Kohel proved that isogeny graphs of ordinary elliptic curves are beautifully structured objects, now called volcanos. We prove graph structural theorems for abelian varie…