Yuanmin Liu

collaborators

3 papers

math.NT2026

Semistable Reduction Theorem for Overconvergent $F$ -isocrystals over Laurent Series Fields

Yuanmin Liu

We prove the semistable reduction theorem for $E^{a^} _{K}$ -valued and $K$ -valued overconvergent $F$ -isocrystals over $k ((t))$ -varieties which were introduced by Lazda and PÃ…

math.AG2026

$p$ -Adic Weight Spectral Sequences of Strictly Semi-stable Schemes over Formal Power Series Rings via Arithmetic $D$ -modules

Yuanmin Liu

Let $k$ be a perfect field of characteristic $p > 0$ . For a strictly semi-stable scheme over $k [[t]]$ , we construct the weight spectral sequence in $p$ -adic cohomology using the th…

math.NT2025

Number fields generated by points in linear systems on curves

Irmak BalÃ§ik, Stephanie Chan, Yuan Liu +1

We develop techniques for determining the fibers of a morphism of curves $I ¨ : C \to D$ over a nonarchimedean local field $K$ . These results have applications to studying closed poi…

Semistable Reduction Theorem for Overconvergent F-isocrystals over Laurent Series Fields

p-Adic Weight Spectral Sequences of Strictly Semi-stable Schemes over Formal Power Series Rings via Arithmetic D-modules

Number fields generated by points in linear systems on curves

Semistable Reduction Theorem for Overconvergent $F$ -isocrystals over Laurent Series Fields

$p$ -Adic Weight Spectral Sequences of Strictly Semi-stable Schemes over Formal Power Series Rings via Arithmetic $D$ -modules