Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors

Rustam Steingart

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arXiv · 2510.00775

Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors

Rustam Steingart

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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 $B$-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--Poincar\'e characteristic formula and Tate duality.

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Rustam Steingart. 2025-10-01. Partial Bloch--Kato Selmer groups of $B$-pairs as delta functors. https://arxiv.org/abs/2510.00775

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