Motivic six-functor formalism for log schemes

2024/03/12 by Doosung Park, Park, Doosung
Computer Science · #Cloud Computing and Resource Management #Distributed and Parallel Computing Systems #Distributed systems and fault tolerance #math.AG

paper · pdf · doi:10.48550/arxiv.2403.07645

openalex publication_date 2024/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish the motivic six-functor formalism for fs log schemes. In particular, we prove the exact base change property, projection formula, and Poincaré duality. We also define Borel-Moore motivic homology, G-theory, and Chow homology of fs log schemes and the category of Chow motives over fs log schemes.

Citations

• Log motivic Gysin isomorphisms

Cited by

• Log motivic exceptional direct image functors

Related

• Triangulated categories of motives over fs log schemes
• Log motivic exceptional direct image functors
• Logarithmic motivic homotopy theory
• \mathbbA¹-homotopy theory of log schemes
• Logarithmic motives with compact support