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arXiv · 2511.15962

Change of weights operations for triangulated $({\varphi},{\Gamma})$-modules

Zichuan Wang
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Abstract

Zhixiang Wu has shown the existence of "change of weights" operation on $(\varphi,\Gamma)$-modules in families (arxiv:2405.16637). We interpret it in the trianguline case as pullbacks with a discussion on related stacks. Finally, we prove that it intertwines well with translation functors via a 1-1 correspondence defined by Yiwen Ding (arXiv:2407.21237) in the non-critical crystabelline case.

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Zichuan Wang. 2025-11-20. Change of weights operations for triangulated $({\varphi},{\Gamma})$-modules. https://arxiv.org/abs/2511.15962

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