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Publications [#367104] of Donu V. Arapura

Papers Published

  1. Arapura, D, HODGE CYCLES AND THE LERAY FILTRATION, Pacific Journal of Mathematics, vol. 319 no. 2 (January, 2022), pp. 233-258 [doi]
    (last updated on 2023/01/05)

    Abstract:
    Given a fibered variety, we pull back the Leray filtration to the Chow group, and use this to give some criteria for the Hodge and Tate conjectures to hold for such varieties. We show that the Hodge conjecture holds for a good desingularization of a self fibre product of a nonisotrivial elliptic surface under appropriate conditions. We also show that the Hodge and Tate conjectures hold for natural families of abelian varieties parametrized by certain Shimura curves

 

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