Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors
Number Theory
2025-10-02 v1 K-Theory and Homology
Abstract
In this article we revisit the partial Selmer groups introduced by Ding in cohomological degree one. On the subcategory of partially de Rham positive -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--Poincar\'e characteristic formula and Tate duality.
Keywords
Cite
@article{arxiv.2510.00775,
title = {Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors},
author = {Rustam Steingart},
journal= {arXiv preprint arXiv:2510.00775},
year = {2025}
}
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