Planes in cubic fourfolds.
2021
We show that the maximal number of planes in a complex smooth cubic fourfold in ${\mathbb P}^5$ is $405$, realized by the Fermat cubic only; the maximal number of real planes in a real smooth cubic fourfold is $357$, realized by the so-called Clebsch--Segre cubic. Altogether, there are but three (up to projective equivalence) cubics with more than $350$ planes.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
14
References
0
Citations
NaN
KQI