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Algebraic cycles on products of elliptic curves over p-adic fields

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Abstract

We show that for any odd prime p there is a smooth projective threefold W defined over a p-adic field such that the Chow group CH2(W)/\(\ell\) and the Griffiths group Griff2(W)/\(\ell\) are infinite for suitable primes \(\ell\). We further give examples of smooth projective fourfolds \(W \times F\) over these p-adic fields for which the \(\ell\)-torsion subgroup CH3 \((W \times F)[\ell]\) is infinite.

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada

    Andreas Rosenschon

  2. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

    V. Srinivas

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  1. Andreas Rosenschon
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  2. V. Srinivas
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Correspondence to Andreas Rosenschon.

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Rosenschon, A., Srinivas, V. Algebraic cycles on products of elliptic curves over p-adic fields. Math. Ann. 339, 241–249 (2007). https://doi.org/10.1007/s00208-007-0107-1

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