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Symmetric powers of Galois modules on Dedekind schemes

Symmetric powers of Galois modules on Dedekind schemes
Symmetric powers of Galois modules on Dedekind schemes
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.
symmetric power operation, adams operation, grothendieck group, bass–whitehead group, locally free classgroup, dedekind scheme, equivariant adams–riemann–roch formula
0010-437X
195-217
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9

Koeck, Bernhard (2000) Symmetric powers of Galois modules on Dedekind schemes. Compositio Mathematica, 124 (2), 195-217. (doi:10.1023/A:1026579331113).

Record type: Article

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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Dedekind.dvi - Accepted Manuscript
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More information

Published date: 2000
Keywords: symmetric power operation, adams operation, grothendieck group, bass–whitehead group, locally free classgroup, dedekind scheme, equivariant adams–riemann–roch formula

Identifiers

Local EPrints ID: 29781
URI: http://eprints.soton.ac.uk/id/eprint/29781
DOI: doi:10.1023/A:1026579331113
ISSN: 0010-437X
PURE UUID: b73edff0-ccce-48e2-945e-0052fb05292b
ORCID for Bernhard Koeck: ORCID iD orcid.org/0000-0001-6943-7874

Catalogue record

Date deposited: 20 Jul 2006
Last modified: 16 Mar 2024 03:22

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Author: Bernhard Koeck ORCID iD

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