Multiple polylogarithms and mixed Tate motives

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We develop the theory of multiple polylogarithms from analytic, Hodge and motivic point of view. Define the category of mixed Tate motives over a ring of integers in a number field. Describe explicitly the multiple polylogarithm Hopf algebra.
82 pages, LATEX, exposition slightly improved, misprints corrected. No major changes

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Algebraic Geometry, Number Theory, 14F42

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http://salesiana.dossiersoluciones.com/handle/123456789/61066

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103059
 http://arxiv.org/abs/math/0103059

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arXiv