Timeline for Degree $6$ curves in cubic surface
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 24, 2020 at 14:28 | comment | added | abx | A cubic surface is obtained by blowing up 6 points in the plane. From this description it is easy to construct all examples you want. | |
| May 24, 2020 at 14:03 | review | Close votes | |||
| May 25, 2020 at 17:03 | |||||
| May 24, 2020 at 13:59 | comment | added | user130022 | why all such curves contained in a cubic surface ? why the last example in not in any quadric ? | |
| May 24, 2020 at 13:43 | comment | added | abx | Yes, a lot. For every $g$ with $0\leq g\leq 4$, there are many families of curves of degree $6$ and genus $g$. And of course you can have the union of an elliptic curve of degree 4 and of a conic, if this is the meaning of your last question. Please look at "cubic surfaces" on any textbook of algebraic geometry. | |
| May 24, 2020 at 13:38 | history | edited | David White | CC BY-SA 4.0 |
Fixed typos to this new question
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| May 24, 2020 at 13:26 | history | asked | user130022 | CC BY-SA 4.0 |