Imaginary logarithmic classes of abelian number fields
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914850323562496 |
|---|---|
| author | Jaulent, Jean-François |
| author_facet | Jaulent, Jean-François |
| contents | We are interested in classical and logarithmic imaginary classes of abelian number fields in connection with Iwasawa theory. For any given odd prime ${\ell}$ and any imaginary abelian number field K, we compute the isotypic components of the logarithmic ${\ell}$-class group of K associated to imaginary irreducible ${\ell}$-adic characters of its Galois group and we extend to this situation the Gold criterium on lambda invariants. We first study the semi-simple case, thus the non semi-simple case in connection with transition formulas of genus for supercircular fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Imaginary logarithmic classes of abelian number fields Jaulent, Jean-François Number Theory We are interested in classical and logarithmic imaginary classes of abelian number fields in connection with Iwasawa theory. For any given odd prime ${\ell}$ and any imaginary abelian number field K, we compute the isotypic components of the logarithmic ${\ell}$-class group of K associated to imaginary irreducible ${\ell}$-adic characters of its Galois group and we extend to this situation the Gold criterium on lambda invariants. We first study the semi-simple case, thus the non semi-simple case in connection with transition formulas of genus for supercircular fields. |
| title | Imaginary logarithmic classes of abelian number fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.18929 |