Timeline for Are smooth irreducible affine varieties set theoretical complete intersection?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 27, 2022 at 14:19 | comment | added | Mohan | @Libli For a curve in three space, this is a theorem of Ferrand ( and Szpiro). Higher dimensional case is due to me, Inv. Math., late seventies. | |
| Dec 27, 2022 at 13:54 | comment | added | Leonardo Lanciano | I think its a Theorem from Ferrand @Libli | |
| Dec 27, 2022 at 8:41 | comment | added | Libli | @Mohan : do you have a reference or a sketch of proof for your claim about affine smooth curves? | |
| Dec 25, 2022 at 20:31 | comment | added | Mohan | All smooth curves in affine spaces are set- theoretic complete intersections. Higher dimensional varieties, this is an open question. The only general case known is when the conormal bundle is trivial, for example affine spaces embedded in higher dimensional affine spaces. | |
| Dec 25, 2022 at 0:28 | comment | added | Jason Starr | Welcome new contributor. Your conclusion can be proved “Zariski locally.” Every smooth subvariety is Zariski locally a complete intersection. | |
| S Dec 24, 2022 at 23:11 | review | First questions | |||
| Dec 25, 2022 at 0:35 | |||||
| S Dec 24, 2022 at 23:11 | history | asked | Leonardo Lanciano | CC BY-SA 4.0 |