Algebraic Cycles and Motivic Generic Iterated Integrals

• Autores: Hidekazu Furusho, S. M. Jafarian Amiri
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 5, 2007, págs. 923-942
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n6.a3
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• Resumen

  • Following \cite{GGL}, we will give a combinatorial framework for motivic study of iterated integrals on the affine line. We will show that under a certain genericity condition these combinatorial objects yield to elements in the motivic Hopf algebra constructed in \cite{BK}. It will be shown that the Hodge realization of these elements coincides with the Hodge structure induced from the fundamental torsor of path of punctured affine line