Deligne--Beilinson cohomology and log Hodge theory

2022/06/03 by Kato, Kazuya, Nakayama, Chikara, Usui, Sampei
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.01401

Abstract

We show that the description of Deligne--Beilinson cohomology is improved by using log Hodge theory. We consider the log relative version of it, and also present a fundamental conjecture in log Hodge theory.

Related

• Deligne-Beilinson Cohomology of Affine Groups
• Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square
• Line bundles, connections, Deligne-Beilinson and absolute Hodge cohomology
• Hodge theorem for the logarithmic de Rham complex via derived intersections
• The existence of higher logarithms