Algebraic cycles and motivic generic iterated integrals

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dc.creatorFurusho, Hidekazu
dc.creatorJafari, Amir
dc.date2005-06-18
dc.date.accessioned2026-07-07T05:20:50Z
dc.date.available2026-07-07T05:20:50Z
dc.descriptionFollowing the work of Gangl, Goncharov and Levin in [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 Bloch-Kriz [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.
dc.identifierhttps://arxiv.org/abs/math/0506370
dc.identifierhttp://arxiv.org/abs/math/0506370
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75526
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleAlgebraic cycles and motivic generic iterated integrals
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