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

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-18
Primary Topic
Algebraic Geometry and Number Theory
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article
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article

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

ArXiv.org
Algebraic Geometry and Number Theory
article

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

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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.

ArXiv.org
Openalex Percentile: Top 45%
Algebraic Geometry and Number Theory
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K-theoretic Poitou-Tate duality in higher dimensions: proper case · ArXiv.org (2025) | TGRS Research Map | TGRS