Reconstruction of the stacky approach to de Rham cohomology

2022/02/14 by Shubhodip Mondal, Mondal, Shubhodip · 1 citation
Mathematics · #14F30 #14F40 #20G05 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2202.07089

openalex publication_date 2022/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short paper, we use Tannakian reconstruction techniques to prove a result that explains how to reconstruct the stacky approach to de Rham cohomology from the classical theory algebraic de Rham cohomology via an application of the adjoint functor theorem.

Cited by

• De Rham affineness of the Nygaard filtered prismatization in positive characteristic

Related

• The Essence of de Rham Cohomology
• Hodge theory and A_∞ structures on cohomology
• A stacky comparison of the Hodge and Nygaard filtrations
• The Monsky-Washnitzer cohomology and the de Rham cohomology
• De Rham cohomology for supervarieties