Yuanmin Liu

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math.NT2026

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

Yuanmin Liu

We prove the semistable reduction theorem for $E_{K}^{†}$ -valued and $K$ -valued overconvergent $F$ -isocrystals over $k ((t))$ -varieties which were introduced by Lazda and Pál.…

math.NT2025

Number fields generated by points in linear systems on curves

Irmak Balçik, Stephanie Chan, Yuan Liu +1

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

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

Number fields generated by points in linear systems on curves

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