Limits of weight filtrations and limits of slope filtrations on infinitesimal cohomologies in mixed characteristics I

Abstract

In this book we construct fundamental filtered complexes in filtered derived categories. These are generalizations of a filtered complex constructed by Mokrane. As an application of these constructions, we develop theory of limits of weight filtrations and limits of slope filtrations on the infinitesimal cohomologies of proper smooth schemes over the fraction field of a complete discrete valuation ring of mixed characteristics with perfect residue field.

457 pages

References in corpus (1)

• Logarithmic De Rham, Infinitesimal and Betti Cohomologies

Cited by in corpus (1)

• Congruences of the cardinalities of rational points of log Fano varieties and log Calabi-Yau varieties over the log points of finite fields