Multiple zeta-motives and moduli spaces M_{0,n}

Details Multiple zeta-motives and moduli spaces M_{0,n} Multiple zeta-motives and moduli spaces M_{0,n}

2002-04-09

arxiv.org/abs/math/0204102v2

Mathematics

Algebraic Geometry

Corrected version, 20 pages, 4 pictures

Scientific paper

We give a natural construction of unramified over Z framed mixed Tate
motives, whose periods are the multiple zeta values. Namely, for each
convergent multiple zeta-value we define two boundary divisors A and B in the
moduli space M_{0,n+3} of stable curves of genus zero. The corresponding
multiple zeta-motive is the n-th cohomology of the pair (M_{0,n+3} -A,B).

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