Multiple zeta-motives and moduli spaces M_{0,n}
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
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).
Keywords
Cite
@article{arxiv.math/0204102,
title = {Multiple zeta-motives and moduli spaces M_{0,n}},
author = {A. B. Goncharov and Yu. I. Manin},
journal= {arXiv preprint arXiv:math/0204102},
year = {2007}
}
Comments
Corrected version, 20 pages, 4 pictures