O'Grady, Kieran G.

Decomposable cycles and Noether-Lefschetz loci

Doc. Math., J. DMV 21, 661-687 (2016)

Summary

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

Mathematics Subject Classification

14C15

Keywords/Phrases

decomposable cycles, Noether-Lefschetz loci

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