1 On algebraic 1 - motives related to Hodge cycles by

  • Barbieri - Viale
  • Published 2001


The goal of this paper is to introduce Hodge 1-motives of algebraic varieties and to state a corresponding cohomological Grothendieck-Hodge conjecture, generalizing the classical Hodge conjecture to arbitrarily singular proper schemes. We also construct generalized cycle class maps from the K-cohomology groups H p+i (K p) to the sub-quotiens W 2p H 2p+i /W… (More)


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