Algebraic cycles on the generic abelian fourfold with polarization of type ( 1 , 2 , 2 , 2 )

نویسنده

  • R. A. Quiñones Estrella
چکیده

In this paper we construct a non-trivial element in the higher Griffiths group Grif f 3,2 for the generic abelian fourfold A 4 with polarization of type (1, 2, 2, 2). The key idea is to use that A 4 can be realized as a generalized Prym variety and for this reason contains in a natural way some curves i.e. dimension 1 cycles.

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تاریخ انتشار 2009