2019/01/31 by Yukiyoshi Nakkajima, Nakkajima, Yukiyoshi
Mathematics · #14F30 #14F40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1902.00182
openalex publication_date 2019/01/31 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28
In this book we construct fundamental filtered complexes in filtered derived\ncategories. These are generalizations of a filtered complex constructed by\nMokrane. As an application of these constructions, we develop theory of limits\nof weight filtrations and limits of slope filtrations on the infinitesimal\ncohomologies of proper smooth schemes over the fraction field of a complete\ndiscrete valuation ring of mixed characteristics with perfect residue field.\n