Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909818606845952 |
|---|---|
| author | Steingart, Rustam |
| author_facet | Steingart, Rustam |
| contents | In this article we revisit the partial Selmer groups introduced by Ding in cohomological degree one. On the subcategory of partially de Rham positive $B$-pairs we extend them to higher cohomological degree and show that the resulting groups form a cohomological delta functor satisfying a variant of the Euler--Poincaré characteristic formula and Tate duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00775 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors Steingart, Rustam Number Theory K-Theory and Homology In this article we revisit the partial Selmer groups introduced by Ding in cohomological degree one. On the subcategory of partially de Rham positive $B$-pairs we extend them to higher cohomological degree and show that the resulting groups form a cohomological delta functor satisfying a variant of the Euler--Poincaré characteristic formula and Tate duality. |
| title | Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors |
| topic | Number Theory K-Theory and Homology |
| url | https://arxiv.org/abs/2510.00775 |