On the pointwise convergence of the number of abelian varieties over ${\mathbb{F}}_p$ with fixed trace

Zhao Yu Ma, Jit Wu Yap, Jeff Achter +1

Extending Katz-Sarnak heuristics, Ballini-Lombardo-Verzobio [BLV25] conjectures a limiting distribution as $p\to \infty$ for $\#A_g({\mathbb{F}}_p,t)$, the number of $g$-dimensional…