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Nearly Perfect Complexes and Galois Module Structure
Published online by Cambridge University Press: 04 December 2007
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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- © 1999 Kluwer Academic Publishers
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