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Nearly Perfect Complexes and Galois Module Structure |
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| Authors: | T Chinburg M Kolster G Pappas V Snaith |
| Institution: | (1) Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104, U.S.A. e-mail;(2) Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada, L86 4K1. e-mail;(3) Department of Mathematics, Michigan State Univ., Wells Hall, East Lansing, MI, 48824, U.S.A. e-mail;(4) Department of Mathematics, University of Southampton, Highfield, Southampton, SO17 1BJ, United Kingdom |
| 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. |
| Keywords: | Galois structure Euler characteristics surface L-function |
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