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A note on formal periods

Published 7 Jun 2021 in math.NT and math.AG | (2106.03803v2)

Abstract: 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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