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A note on formal periods

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arxiv 2106.03803 v2 pith:5Q2EFH2P submitted 2021-06-07 math.NT math.AG

classification math.NTmath.AG
keywords formalperiodsallowsmixedmotivespacearbitraryconjectures
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We give an elementary description of the space of formal periods of a mixed motive. This allows for a simplified reformulation of the period conjectures of Grothendieck and Kontsevich-Zagier. Furthermore, we develop a machinery which in principle allows to determine the space of formal periods for an arbitrary mixed motive explicitly.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. P-adic Period Conjectures for 1-motives: Integration and Linear Relations

    math.NT 2025-07 reject novelty 6.0 of 10

    The authors construct p-adic integration pairings and Q-structures for 1-motives with good reduction, and claim that all linear relations among the resulting p-adic periods at depths 1 and 2 are captured by bilinearit...

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