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Symmetric powers of Galois modules on Dedekind schemes

1999/10/14 by Bernhard Koeck, Koeck, Bernhard · 1 citation
Mathematics · #11R33 #14C40 #19A31 #19B28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.AC #math.AG #math.KT #math.NT #msc:11R33 #msc:14C40 #msc:19A31 #msc:19B28

paper · pdf · doi:10.48550/arxiv.math/9910072

22 pages; Latex

arxiv created 1999/10/14 · openalex publication_date 1999/10/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a certain Riemann-Roch type formula for symmetric powers of Galois modules on Dedekind schemes which, in the number field or function field case, specializes to a formula of Burns and Chinburg for Cassou-Noguès-Taylor operations.

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