Mixed Tate motives over Z

成果类型:
Article
署名作者:
Brown, Francis
刊物名称:
ANNALS OF MATHEMATICS
ISSN/ISSBN:
0003-486X
DOI:
10.4007/annals.2012.175.2.10
发表日期:
2012
页码:
949-976
关键词:
摘要:
We prove that the category of mixed Tate motives over Z is spanned by the motivic fundamental group of P-1 minus three points. We prove a conjecture by M. Hoffman which states that every multiple zeta value is a Q-linear combination of zeta(n(1), . . . ,n(r)), where n(i) is an element of {2,3}.