November 9, 2025Open Access

Rational Hodge--Tate prismatic crystals of quasi-l. c. i algebras and non-abelian p-adic Hodge theory

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Authors

XQXiaoyu QuIllinois College JYJiahong Yu

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Implication

Analysis reveals an equivalence between Hodge-Tate crystals and integrable connections in quasi-l.c.i algebras, suggesting new results in p-adic Hodge theory.

Key Points

Finding an equivalence of categories between rational Hodge-Tate crystals and topologically nilpotent connections is vital.
The introduction of a-smallness for rational Hodge-Tate prismatic crystals aids in understanding their properties.
Analysis involves special algebras over the ring of integers of non-archimedean fields, demonstrating broad applicability.
This work highlights the link between rational Hodge-Tate crystals and v-vector bundles, pointing to advancements in p-adic theories.

Cite This Study

Qu et al. (2025) studied this question.

synapsesocial.com/papers/690fdcdaf60c54d04ea381ed https://doi.org/10.48550/arxiv.2511.03458

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Implication

Analysis reveals an equivalence between Hodge-Tate crystals and integrable connections in quasi-l.c.i algebras, suggesting new results in p-adic Hodge theory.

Rational Hodge--Tate prismatic crystals of quasi-l. c. i algebras and non-abelian p-adic Hodge theory

Discussion

Member takes

Implication

Key Points

Cite This Study

Rational Hodge--Tate prismatic crystals of quasi-l. c. i algebras and non-abelian p-adic Hodge theory

Discussion

Member takes

Implication

Key Points

Cite This Study

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