On the equivariant Tamagawa number conjecture for Tate motives

• 成果类型: Article
• 署名作者: Burns, D; Greither, C
• 署名单位: University of London; King's College London; Bundeswehr University Munich
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-003-0291-x
• 发表日期: 2003
• 页码: 303-359
• 关键词: galois structure; K-THEORY; units; EXTENSIONS; FIELDS; COHOMOLOGY; VARIETIES; VALUES; rings

摘要

Let L be a finite abelian extension of Q and let K be any subfield of L. For each integer r with rless than or equal to0 we prove the Equivariant Tamagawa Number Conjecture for the pair (h(0)(Spec(L))(r), Z[1/2][Gal(L/K)]).