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arXiv · 2503.16881

Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions

Peijiang Liu
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Abstract

In this article, we study the filtered $\Phi$-modules canonically attached to the exponentially twisted cohomology associated with some nondegenerate functions. Inspired by $p$-adic Hodge theory, we conjecture that those filtered $\Phi$-modules are weakly admissible. We show that this expectation is correct under some assumptions using the theory of Adolphson and Sperber.

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Peijiang Liu. 2025-03-21. Weak admissibility of exponentially twisted cohomology associated with some nondegenerate functions. https://arxiv.org/abs/2503.16881

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