The unipotent motivic fundamental group of \(\mathbf G_m - \mu_N\), for \(N=2,3,4,6\) or \(8\)

DOI10.1007/s10240-010-0027-6zbMath1218.14016OpenAlexW1582061736MaRDI QIDQ633560

Pierre Deligne

Publication date: 1 April 2011

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10240-010-0027-6

zbMATH Keywords

mixed Tate motivesmotivic fundamental group

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Motivic cohomology; motivic homotopy theory (14F42)

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Cites Work

• Unnamed Item
• A natural ring basis for the shuffle algebra and an application to group schemes
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• Double shuffles of multiple polylogarithms at roots of unity
• Groupes fondamentaux motiviques de Tate mixte