Work

On Fontaine’s conjecture for torsion crystalline local systems

Year: 2025

Type: article

Abstract: Let 𝔛 be a smooth connected 𝑝-adic formal scheme. Based on the prismatic description of crystalline local systems, we prove an analogue of Fontaine’s conjecture for torsion crystalline local systems on the generic fiber of 𝔛. As an application, we show that the locus of crystalline local systems whose Hodge–Tate weights lie in a fixed interval cuts out a closed subscheme of the universal deformation ring.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle-2025-0015

Author: Yong Suk Moon

Institution: Beijing Institute of Mathematical Sciences and Applications

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4408770996

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Cites: 21

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Related to: 10