Hodge Cycles on Abelian Varieties

  title={Hodge Cycles on Abelian Varieties},
  author={Pierre Delign{\'e}},
The main result proved in these notes is that any Hodge cycle on an abelian variety (in characteristic zero) is an absolute Hodge cycle — see §2 for definitions and (2.11) for a precise statement of the result. 
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Let f : X → Y be a semistable family of complex abelian varieties over a curve Y of genus g(Y ), and smooth over the com


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La conjecture de Weil pour les surfacesK3
1. Enonc6 du th~or~me Soient Fq un corps ~t q ~l~ments, Fq une cl6ture alg6brique de Fq, r la substitution de Frobenius xv-~x q et F= tp -1 le << Frobenius g6om6trique >>. Soit X un sch6ma (s6par6 de