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THE BAR CONSTRUCTION AND AFFINE STACKS

机译:THE BAR CONSTRUCTION AND AFFINE STACKS

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摘要

We discuss the equivalence of two constructions of a unipotent group scheme attached to a differential graded algebra over a Q-algebra. The first construction is using the bar resolution and the second is using Toen's theory of affine stacks. We use this to establish the equivalence of two approaches to the comparison theorem in p-adic Hodge theory for the unipotent fundamental group of varieties defined over p-adic fields.

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