On $\psi$-lattices in modular $(\varphi,\Gamma)$-modules

Elmar Große-Klönne

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arXiv · 2405.17118

On $\psi$-lattices in modular $(\varphi,\Gamma)$-modules

Elmar Große-Klönne

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Abstract

Let $F/{\mathbb Q}_p$ be a finite field extension, let $k$ be a finite field extension of the residue field of $F$. Generalizing the $\psi$-lattices which Colmez constructed in \'{e}tale $(\varphi,\Gamma)$-modules over $k[[t]][t^{-1}]$, we define, study and exemplify $\psi$-lattices in \'{e}tale $(\varphi,\Gamma)$-modules over $k[[t_1,\ldots,t_d]][\prod_it_i^{-1}]$ for arbitrary $d\in{\mathbb N}$.

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Elmar Große-Klönne. 2024-05-27. On $\psi$-lattices in modular $(\varphi,\Gamma)$-modules. https://arxiv.org/abs/2405.17118

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