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math.NT2025

Prismatic $F$ -crystals and $E$ -crystalline Galois representations

Dat Pham

Let $K$ be a complete discretely valued field of mixed characteristic $(0, p)$ with perfect residue field, and let $E$ be a finite extension of $Q_{p}$ contained in $K$ . We s…

math.NT2024

The Emerton--Gee stack of rank one $(I ¨ , I^)$ -modules

Dat Pham

We give a classification of rank one $(I ¨ , I^)$ -modules with coefficients in a $p$ -adically complete $Z_{p}$ -algebra. As a consequence, we obtain a new proof of Proposition 7…

Prismatic F-crystals and E-crystalline Galois representations

The Emerton--Gee stack of rank one (I¨,I^)-modules

Prismatic $F$ -crystals and $E$ -crystalline Galois representations

The Emerton--Gee stack of rank one $(I ¨ , I^)$ -modules