Hodge loci and absolute Hodge classes

  title={Hodge loci and absolute Hodge classes},
  author={Claire Voisin},
  journal={Compositio Mathematica},
  pages={945 - 958}
  • C. Voisin
  • Published 30 May 2006
  • Mathematics
  • Compositio Mathematica
This paper addresses several questions related to the Hodge conjecture. First of all we consider the question, asked by Maillot and Soulé, whether the Hodge conjecture can be reduced to the case of varieties defined over number fields. We show that this is the case for the Hodge classes whose corresponding Hodge locus is defined over a number field. We also give simple criteria for this last condition to be satisfied. Finally we discuss the relation between this condition and the notion of… 
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  • Y. André
  • Mathematics
    Journal of the Institute of Mathematics of Jussieu
  • 2006
Une conjecture de Grothendieck prédit que le transport parallèle de toute classe de cycle algébrique invariante par monodromie est encore une classe de cycle algébrique. Nous prouvons qu'il s'agit
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The following is a fundamental reading list for doctoral candidates to use as a guide in preparing for their comprehensive examination in the field of Modernism. A student is expected to have read