2 papers
math.NT2026
Modular curves of prime-power level with infinitely many quadratic points
Michael Cerchia, Rakvi
We completely determine the open subgroups of of prime-power level that satisfy and $\operatorname{det}(H)=\wideha…
math.NT2025
Weil polynomials of abelian varieties over finite fields
Michael Cerchia, Zeyu Liu, Diana Mocanu +2
In this paper, we investigate Weil polynomials and their relationship with isogeny classes of abelian varieties over finite fields. We give a necessary condition for a degree 12 po…