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De Rham epsilon factors for flat connections on higher local fields (1807.07888v1)
Published 20 Jul 2018 in math.AG
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.
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