A note on purity of crystalline local systems

2022/10/13 by Yong Suk Moon, Moon, Yong Suk
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2210.07368

openalex publication_date 2022/10/13 · openalex created_date 2022/10/19 · openalex updated_date 2026/07/28

Abstract

In this short note, we prove a purity result for crystalline local systems on a smooth p-adic affine formal scheme. Our method is based on the prismatic description of crystalline local systems.

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