On the Galois structure of arithmetic cohomology II: ray class groups

David Burns; Asuka Kumon

doi:10.2969/jmsj/07027321

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

On the Galois structure of arithmetic cohomology II: ray class groups

David Burns, Asuka Kumon

著者情報

キーワード: ray class groups, Galois structure, Leopoldt’s Conjecture, Dirichlet 𝐿-series

ジャーナルフリー

2018 年 70 巻 2 号 p. 481-517

DOI https://doi.org/10.2969/jmsj/07027321

詳細

抄録

We investigate the explicit Galois structure of ray class groups. We then derive consequences of our results concerning both the validity of Leopoldt’s Conjecture and the existence of families of explicit congruence relations between the values of Dirichlet 𝐿-series at 𝑠=1.