On a result of Green and Griffiths

preprint2013arXivOpen access

Abstract

We present a simple proof of a result of Green and Griffiths, which states that for the generic curve C of genus g >= 4, the 0-cycle K \times K - (2g - 2) K_Δis non-torsion in CH^2(C \times C). The proof is elementary and works in all characteristics.

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