Eisenstein cocycles for imaginary quadratic fields
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909595654422528 |
|---|---|
| author | Lecouturier, Emmanuel Sharifi, Romyar Shih, Sheng-Chi Wang, Jun |
| author_facet | Lecouturier, Emmanuel Sharifi, Romyar Shih, Sheng-Chi Wang, Jun |
| contents | We construct Eisenstein cocycles for arithmetic subgroups of GL_2 of imaginary quadratic fields valued in second K-groups of products of two CM elliptic curves. We use these to construct maps from the first homology groups of Bianchi spaces to corresponding second K-groups of ray class fields and to verify the Eisenstein property of these maps for prime-to-level Hecke operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eisenstein cocycles for imaginary quadratic fields Lecouturier, Emmanuel Sharifi, Romyar Shih, Sheng-Chi Wang, Jun Number Theory 11F75, 11G05, 11G15, 11R70, 19E15 We construct Eisenstein cocycles for arithmetic subgroups of GL_2 of imaginary quadratic fields valued in second K-groups of products of two CM elliptic curves. We use these to construct maps from the first homology groups of Bianchi spaces to corresponding second K-groups of ray class fields and to verify the Eisenstein property of these maps for prime-to-level Hecke operators. |
| title | Eisenstein cocycles for imaginary quadratic fields |
| topic | Number Theory 11F75, 11G05, 11G15, 11R70, 19E15 |
| url | https://arxiv.org/abs/2504.19125 |