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 44 unramified cohomology with torsion coefficients of a smooth projective variety XX. We show that if CH0(X)CH_0(X) is small, it is isomorphic to the group of torsion codimension 33 cycles with trivial Deligne cycle class, modulo algebraic equivalence.