Logarithmic Combinatorial Differentials

2008/02/14 by Daniel Schepler, Schepler, Daniel
Computer Science · Mathematics · #14A20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #math.AG #msc:14A20

paper · pdf · doi:10.48550/arxiv.0802.1990

arxiv created 2008/02/14 · openalex publication_date 2008/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a morphism X → S of fine log schemes, we develop a geometric description of the sheaves of higher-order differentials Ωⁿ_X/S for n > 1, as well as a definition of the de Rham complex in terms of this description.

Related

• Logarithmic geometry and Frobenius
• Hodge theorem for the logarithmic de Rham complex via derived intersections
• Logarithmic differentials on discretely ringed adic spaces
• Decomposition of direct images of logarithmic differentials
• Deligne-Hodge-DeRham theory with coefficients