Tohoku Mathematical Journal
2019
September
SECOND SERIES VOL. 71, NO. 3

Tohoku Math. J.
71 (2019), 465-485

Title LA VERSION RELATIVE DE LA CONJECTURE DES PÉRIODES DE KONTSEVICH-ZAGIER REVISITÉE

Author Joseph Ayoub

(Received November 16, 2016)
Abstract. In this short note, we remark that a small modification in the computation made in [5] of the algebra of the torsor of isomorphisms between the tangential Betti realisation and the De Rham realisation results in a statement of functional Kontsevich--Zagier type which is purely algebraic and much more satisfactory than the statement obtained in [5].

Mathematics Subject Classification. Primary 14C15; Secondary 11J91.
Key words and phrases. Séries de périodes, transcendance, motifs, groupe de Galois motivique, géométrie rigide.

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