Multiple ζ-motives and moduli spaces M0,n

被引：53

作者：

Goncharov, AB ^{[1
]}

Manin, YI

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

[2] Max Planck Inst Math, D-5300 Bonn, Germany

来源：

COMPOSITIO MATHEMATICA | 2004年 / 140卷 / 01期

关键词：

multiple zeta-values; moduli spaces; mixed Tate motives;

D O I：

10.1112/S0010437X03000125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a natural construction of framed mixed Tate motives unramified over Z 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) over bar (0,n+3) of stable curves of genus zero. The corresponding multiple zeta-motive is the nth cohomology of the pair ((M) over bar (0,n+3)-A, B).

引用

页码：1 / 14

页数：14

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