2024/04/30 by Kazuya Katô, Kato, Kazuya, Chikara Nakayama +3
Computer Science · #14G15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Primary 14A21 #Secondary 14F06
paper · pdf · doi:10.48550/arxiv.2404.19183
openalex publication_date 2024/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on the logarithmic algebraic geometry and the theory of Deligne systems, we define an abelian category of ℓ-adic sheaves with weight filtrations on a logarithmic scheme over a finite field, which is similar to the category of variations of mixed Hodge structure. We consider asymptotic behaviors and simple cases of higher direct images of objects of this category. This category is closely related to the monodromy-weight conjecture.