Timeline for Locally affine varieties and du Val singularities
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2019 at 11:37 | comment | added | Piotr Achinger | @ChristopherBeem that's the conjecture I remember (for smooth and projective rational varieties), though I don't have a reference. | |
| Jul 26, 2019 at 11:31 | comment | added | Christopher Beem | @PiotrAchinger, I had gathered that the conjecture that gets discussed was that all smooth rational varieties are uniformly rational. Are you saying that (modulo assessment of Kakrzhemanov's claim) the stronger conjecture that all rational varieties admit atlases that are actually affine spaces, rather than open subsets of affine spaces is also viable? | |
| Jul 26, 2019 at 10:28 | answer | added | Balazs | timeline score: 1 | |
| Jul 25, 2019 at 20:38 | comment | added | Piotr Achinger | @KevinCasto Has Karzhemanov’s claim been accepted by the experts? If true this would be spectacular, but in the three years after the preprint appeared I still haven’t heard anything. | |
| Jul 25, 2019 at 20:24 | comment | added | Kevin Casto | @PiotrAchinger I believe this was proven false a couple years ago -- see the second answer here: mathoverflow.net/questions/99144/… | |
| Jul 25, 2019 at 19:46 | comment | added | Piotr Achinger | I think it is conjectured that every smooth projective rational variety admits an atlas by affine spaces. It sounds ridiculous, but reflects how little we know. | |
| Jul 25, 2019 at 15:00 | history | asked | Christopher Beem | CC BY-SA 4.0 |