The class of the bi-elliptic Prym locus RB_8^0 is shown to be non-tautological in CH^*(R_8), with an extension to compact pointed spaces when g + m >= 8.
The moduli space of curves
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Non--tautological cycles on Prym moduli spaces
The class of the bi-elliptic Prym locus RB_8^0 is shown to be non-tautological in CH^*(R_8), with an extension to compact pointed spaces when g + m >= 8.