3 papers
math.AG2026
A -adic Simpson correspondence for singular rigid-analytic varieties
Hanlin Cai, Zeyu Liu
Let be a complete, algebraically closed non-archimedean extension of , and be a proper rigid-analytic variety over . We show that the category of pro-étal…
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…
math.AG2025
A stacky approach to prismatic crystals via -prism charts
Zeyu Liu
Let be a locally complete intersection over containing a -power root of unity . We classify the derived category of prismatic crystals on the absolute…