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Log motivic exceptional direct image functors

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arxiv 2403.06692 v2 pith:RLQWCXNH submitted 2024-03-11 math.AG

Doosung Park This is my paper · ORCID
classification math.AG
keywords motivicdirectexceptionalfunctorsimageschemesconstructconstruction
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In this paper, we construct the motivic exceptional direct image functors for fs log schemes. This construction is a part of the motivic six-functor formalism for fs log schemes.

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  1. The motivic fundamental groupoid at tangential basepoints

    math.AG 2025-10 conditional novelty 8.0 of 10

    A general motivic fundamental groupoid at tangential basepoints is constructed over any field, with Betti and de Rham realizations matching the classical fundamental torsor and periods given by regularized iterated integrals.

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