De Rham epsilon factors for flat connections on higher local fields

2018/07/20 by Michael Groechenig, Groechenig, Michael
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1807.07888

openalex publication_date 2018/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note is a companion to the author's "Higher de Rham epsilon factors". Using Grayson's binary complexes and the formalism of n-Tate spaces we develop a formalism of graded epsilon lines, associated to flat connections on a higher local field of characteristic 0. The definition is based on comparing a Higgs complex with a de Rham complex on the same underlying vector bundle.

Citations

• Higher de Rham epsilon factors

Related

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