Zeyu Liu

collaborators

3 papers

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 $q$ -prism charts

Zeyu Liu

Let $Y$ be a locally complete intersection over $O_{K}$ containing a $p$ -power root of unity $ζ_{p}$ . We classify the derived category of prismatic crystals on the absolute p…

math.AG2024

On the prismatization of $O_{K}$ beyond the Hodge-Tate locus

Zeyu Liu

Let $X = Spf (O_{K})$ . We classify perfect complexes of $n$ -truncated prismatic crystals on the prismatic site of $X$ when $n \leq 1 + \frac{p - 1}{e}$ by studying perfect…

Weil polynomials of abelian varieties over finite fields

A stacky approach to prismatic crystals via q-prism charts

On the prismatization of OK​ beyond the Hodge-Tate locus

A stacky approach to prismatic crystals via $q$ -prism charts

On the prismatization of $O_{K}$ beyond the Hodge-Tate locus