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1 IMJ - Institut de Mathématiques de Jussieu

Abstract : We study for rationally connected varieties $X$ the group of degree 2 integral homology classes on $X$ modulo those which are algebraic. We show that the Tate conjecture for divisor classes on surfaces defined over finite fields implies that this group is trivial for any rationally connected variety.

Keywords : rationally connected variety Tate classes Tate conjecture curve classes





Author: Claire Voisin -

Source: https://hal.archives-ouvertes.fr/



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