Further Counterexamples to Zarhin's conjecture about micro weights
Algebraic Geometry
2025-11-18 v2
Abstract
We present two new families of Abelian varieties which contradict Zarhin's conjecture about micro weights in positive characteristics. For each of these examples we determine the dimension and the Newton slopes of the ghost Abelian variety in the sense of Cadoret and Tamagawa.
Cite
@article{arxiv.2207.08706,
title = {Further Counterexamples to Zarhin's conjecture about micro weights},
author = {Oliver Bültel},
journal= {arXiv preprint arXiv:2207.08706},
year = {2025}
}