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Symmetric Powers of Galois Modules on Dedekind Schemes

Published online by Cambridge University Press:  04 December 2007

Bernhard Köck
Bernhard Köck
Affiliation:
Mathematisches Institut II der Universität Karlsruhe, D-76128 Karlsruhe, Germany. E-mail: bernhard.koeck@math.uni-karlsruhe.de
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Abstract

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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.

Keywords

Symmetric power operationAdams operationGrothendieck groupBass–Whitehead grouplocally free classgroupDedekind schemeequivariant Adams–Riemann–Roch formula
Type
Research Article
Information
Compositio Mathematica , Volume 124 , Issue 2 , November 2000 , pp. 195 - 217
Copyright
© 2000 Kluwer Academic Publishers