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arXiv · 2509.17279

Automorphisms of Frobenius twisted de Rham cohomology

Shizhang Li·Shubhodip Mondal
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Abstract

In this short paper, we prove that the moduli of automorphisms of Frobenius twisted de Rham cohomology functor is given by $\mathbb{G}_m$. Our method is to use the notion of $\mathbb{G}_a^{\mathrm{perf}}$-modules and its connection to the de Rham cohomology functor introduced in \cite{M22}. As an application of the induced $\mathbb{G}_m$-action, we reprove a result of Bhatt, Petrov, and Vologodsky on the decomposition of the Frobenius twisted de Rham complex.

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Shizhang Li, Shubhodip Mondal. 2025-09-21. Automorphisms of Frobenius twisted de Rham cohomology. https://arxiv.org/abs/2509.17279

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