Hasse–Witt invariants of symmetric complexes: an example from geometry

Jardine has defined Hasse–Witt invariants for symmetric bundles over schemes. This definition can be extended to symmetric complexes, that is symmetric objects in the derived category of bounded complexes of vector bundles over a scheme. In this Note we show how one can use these generalized invariants to give a neater proof of a comparison result on Hasse–Witt invariants of symmetric bundles attached to tame coverings of schemes. To cite this article: P. Cassou-Noguès et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 839–842.