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Invariants of a quadratic form attached to a tame covering of schemes

Philippe Cassou-Noguès, Boas Erez, Martin J. Taylor (2000)

Journal de théorie des nombres de Bordeaux

We build on preceeding work of Serre, Esnault-Kahn-Viehweg and Kahn to establish a relation between invariants, in modulo 2 étale cohomology, attached to a tamely ramified covering of schemes with odd ramification indices. The first type of invariant is constructed using a natural quadratic form obtained from the covering. In the case of an extension of Dedekind domains, mains, this form is the square root of the inverse different equipped with the trace form. In the case of a covering of Riemann...

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