K-theoretic Poitou-Tate duality in higher dimensions: proper case

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Autor principal: Braunling, Oliver
Formato: Preprint
Publicado: 2025
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author Braunling, Oliver
author_facet Braunling, Oliver
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_14153
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle K-theoretic Poitou-Tate duality in higher dimensions: proper case
Braunling, Oliver
K-Theory and Homology
Algebraic Topology
Number Theory
Primary 19F05, Secondary 19D10, 22B05
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.
title K-theoretic Poitou-Tate duality in higher dimensions: proper case
topic K-Theory and Homology
Algebraic Topology
Number Theory
Primary 19F05, Secondary 19D10, 22B05
url https://arxiv.org/abs/2504.14153