2025/04/09 by Liu, Zeyu · 1 citation
Computer Science · #Algebraic Geometry (math.AG) #Computational Drug Discovery Methods #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2504.07005
openalex publication_date 2025/04/09 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28
Let Y be a locally complete intersection over OK containing a p-power root of unity ζp. We classify the derived category of prismatic crystals on the absolute prismatic site of Y by studying quasi-coherent complexes on the prismatization of Y via q-prism charts. We also develop a Galois descent mechanism to remove the assumption on OK. As an application, we classify quasi-coherent complexes on the Cartier-Witt stack and give a purely algebraic calculation of the cohomology of the structure sheaf on the absolute prismatic site of ℤp. Along the way, for Y a locally complete intersection over A with A lying over a q-prism, we classify quasi-coherent complexes on the relative prismatization of Y.