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Nearly perfect complexes and Galois module structure

Nearly perfect complexes and Galois module structure
Nearly perfect complexes and Galois module structure
We define a generalization of the Euler characteristic of a perfect complex of modules for the group ring of a finite group. This is combined with work of Lichtenbaum and Saito to define an equivariant Euler characteristic for G on regular projective surfaces over Z having a free action of a finite group. In positive characteristic we relate the Euler characteristic of G to the leading terms of the expansions of L-functions at s=1.
0010-437X
133-155
Chinberg, T.
7cbbba11-20eb-47c4-af88-456f35ee5247
Kolster, M.
841c4226-2d16-44ba-bfad-633af7d75a71
Pappus, G.
7327abda-5d7b-4c63-bcd8-665c7cf96cd7
Snaith, V.
1ade1720-0b26-4c42-991e-1a70e8b5e3a1
Chinberg, T.
7cbbba11-20eb-47c4-af88-456f35ee5247
Kolster, M.
841c4226-2d16-44ba-bfad-633af7d75a71
Pappus, G.
7327abda-5d7b-4c63-bcd8-665c7cf96cd7
Snaith, V.
1ade1720-0b26-4c42-991e-1a70e8b5e3a1

Chinberg, T., Kolster, M., Pappus, G. and Snaith, V. (1999) Nearly perfect complexes and Galois module structure. Compositio Mathematica, 119 (2), 133-155. (doi:10.1023/A:1001716302575).

Record type: Article

Abstract

We define a generalization of the Euler characteristic of a perfect complex of modules for the group ring of a finite group. This is combined with work of Lichtenbaum and Saito to define an equivariant Euler characteristic for G on regular projective surfaces over Z having a free action of a finite group. In positive characteristic we relate the Euler characteristic of G to the leading terms of the expansions of L-functions at s=1.

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Published date: 1999

Identifiers

Local EPrints ID: 29919
URI: http://eprints.soton.ac.uk/id/eprint/29919
ISSN: 0010-437X
PURE UUID: 4f2a3780-c171-4da9-9615-374447e8d916

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Date deposited: 19 Mar 2007
Last modified: 15 Jul 2019 19:08

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