Zeyu Liu

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math.AG2025

A $p$ -adic Simpson correspondence for singular rigid-analytic varieties

Hanlin Cai, Zeyu Liu

Let $C$ be a complete, algebraically closed non-archimedean extension of $Q_{p}$ , and $X$ be a proper rigid-analytic variety over $C$ . We show that the category of pro-étale…

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…

A p-adic Simpson correspondence for singular rigid-analytic varieties

A stacky approach to prismatic crystals via q-prism charts

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

A $p$ -adic Simpson correspondence for singular rigid-analytic varieties

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

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