The second Stiefel-Whitney classes of l-adic cohomology

Mathematics – Algebraic Geometry

Scientific paper

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43 pages. The title is changed and more details are included

Scientific paper

For a proper smooth variety of even dimension over a field of characteristic
different from 2 or l, the second Stiefel-Whitney class of the l-adic
cohomology and the second Hasse-Witt class of the de Rham cohomology are both
defined in the second Galois homology. We state a conjecture on their relation
and give several evidences.

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