## Decomposable cycles and Noether-Lefschetz loci

### 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 $\lfloor \frac{d-1}3\rfloor$.

14C15

### Keywords/Phrases

decomposable cycles, Noether-Lefschetz loci