Timeline for Embedding of the first Hirzebruch surface in $\mathbb{P}^4$ as a cubic surface
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 26, 2023 at 16:44 | comment | added | Sasha | There is a relation if a variety is a complete intersection, which is not the case for the cubic scroll. | |
| Nov 26, 2023 at 16:24 | comment | added | Yromed | @PhilTosteson , abx, thank you for your comment. There is no relation between the degree of the surface and the degree of the defining equations of the surface then ? | |
| Nov 26, 2023 at 16:15 | comment | added | Phil Tosteson | To elaborate on abx's comment, degree three means that a general 2-plane intersects it in 3 points. There are multiple types of cubic surface in 4-space. | |
| Nov 26, 2023 at 16:11 | comment | added | abx | "Cubic surface" here just means of degree 3. It is definitely not contained in a hyperplane. | |
| Nov 26, 2023 at 16:05 | history | asked | Yromed | CC BY-SA 4.0 |