A quintic hypersurface in P8(C) with many nodes
Oliver Schmidt, Oliver Labs, Duco van Straten
| Number | 28 |
|---|---|
| Author | Duco van Straten |
| Year | 2009 |
We construct a hypersurface of degree 5 in projective space P8(C) which contains exactly 23436 ordinary nodes and no further singularities. This limits the maximum number μ8(5) of ordinary nodes a hyperquintic in P8(C) can have to 23436 ≤ μ8(5) ≤ 27876. Our method generalizes the approach by the 3rd author for the construction of a quintic threefold with 130 nodes in an earlier paper.
