A sketch of a construction of subvarieties of M_{0,n} carrying rational solutions to generic double shuffle equations, where the subvariety is defined as the locus where those equations hold.
Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
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abstract
In this paper we prove certain algebraic identities, which correspond to differentiations of the shuffle relation, the stuffle relation, and the relations which arise from M\"obius transformations of iterated integrals. These formulas provide fundamental and useful tools in the study of iterated integrals on a punctured projective line.
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On generic double shuffle relations, localized multiple polylogarithms and algebraic functions
A sketch of a construction of subvarieties of M_{0,n} carrying rational solutions to generic double shuffle equations, where the subvariety is defined as the locus where those equations hold.