Decomposable cycles and Noether-Lefschetz loci

  • Kieran G. O'Grady

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Abstract

We prove that there exist smooth surfaces of degree dd in \PP\PP^3 whose group of rational equivalence classes of decomposable 0-cycles has rank at least d13\lfloor \frac{d-1}3\rfloor.

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Kieran G. O'Grady, Decomposable cycles and Noether-Lefschetz loci. Doc. Math. 21 (2016), pp. 661–687

DOI 10.4171/DM/542