Displaying similar documents to “Milnor’s conjecture on quadratic forms and m o d ; 2 motivic complexes”

Vectorial extensions of Jacobians

Robert F. Coleman (1990)

Annales de l'institut Fourier

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The universal vectorial extension of a curve is described in terms of the geometry of the curve.

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

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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...