Degree 4 unramified cohomology with finite coefficients and torsion codimension 3 cycles

  • Claire Voisin

    Collège de France, Paris, France
Degree 4 unramified cohomology with finite coefficients and torsion codimension 3 cycles cover

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Abstract

We study in this paper degree unramified cohomology with torsion coefficients of a smooth projective variety . We show that if is small, it is isomorphic to the group of torsion codimension cycles with trivial Deligne cycle class, modulo algebraic equivalence.