Timeline for Lie algebroid in algebraic geometry
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 17, 2022 at 6:07 | comment | added | Frank Voigt | @P.Grabowski Thanks for your comment! I asked this question because I wanted some application of restricted Lie algebras for geometric topics or others. And I saw a fact that Lie algebras of vector fields are closed for p-th power in positive characteristic. So, if such Lie algebras have geometric aspects, how affect its p-th power in geometry? and I'm here. By the way, according to your comment, it seems to get some technic for getting information from it... I look forward to your writing :) | |
| Jun 17, 2022 at 5:37 | comment | added | Frank Voigt | @Z.M Thanks for your comment! I searched the documents, but it seems to be a very high level for self-studying :( I might use it for reference. | |
| May 31, 2022 at 19:03 | comment | added | P. Grabowski | Lie algebras of vector fields, namely foliations, behave poorly in positive characteristic, but it is a feature. For example, the relative tangent bundle of $k[x]\subset k[x,y]$ recovers only $k[x,y^p]\subset k[x,y]$. But one can work it out to ones advantage. <wink> I would give a reference for this, but I am writing it down right now. <laugh> | |
| May 13, 2022 at 11:49 | answer | added | Niels | timeline score: 3 | |
| May 13, 2022 at 7:12 | comment | added | Z. M | In char 0, it is covered in Gaitsgory–Robenblyum, A study of ..., Vol 2. In char p, you could look at Brantner–Waldron for purely inseparable extensions. | |
| May 12, 2022 at 20:16 | history | asked | Frank Voigt | CC BY-SA 4.0 |