K-theoretic Poitou-Tate duality in higher dimensions: proper case
K-Theory and Homology
2025-04-22 v1 Algebraic Topology
Number Theory
Abstract
We generalize Blumberg-Mandell's K-theoretic Poitou-Tate duality to arithmetic schemes of arbitrary dimension, smooth and proper over S-integers. As in our earlier papers on the subject, we discuss how to model the compactly supported side via the K-theory of locally compact modules.
Keywords
Cite
@article{arxiv.2504.14153,
title = {K-theoretic Poitou-Tate duality in higher dimensions: proper case},
author = {Oliver Braunling},
journal= {arXiv preprint arXiv:2504.14153},
year = {2025}
}