Determinants of perfect complexes and Euler characteristics in relative K_0-groups

Details Determinants of perfect complexes and Euler characteristics in relative K_0-groups Determinants of perfect complexes and Euler characteristics in relative K_0-groups

2008-12-08

arxiv.org/abs/0812.1556v1

Mathematics

K-Theory and Homology

17 pages

Scientific paper

We study the K_0 and K_1-groups of exact and triangulated categories of
perfect complexes, and we apply the results to show how determinant functors on
triangulated categories can be used for the construction of Euler
characteristics in relative algebraic K_0-groups.

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