Timeline for Katz's paper on $p$-curvature – help with proof understanding
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2020 at 21:15 | comment | added | Conjecture | Indeed it is the result I was referring to: en.wikipedia.org/wiki/Symmetry_of_second_derivatives Thanks again for your help! | |
| Mar 17, 2020 at 20:56 | comment | added | Jesse Silliman | I don't know what you are referring to. 2. is the algebraic analog of the calculus fact that, for sufficiently smooth functions, mixed partial derivatives commute. It is proven by: $\partial_i \partial_j (s_i^m s_j^n) = m n s_i^{m-1} s_j^{n-1} = \partial_j \partial_i (s_i^m s_j^n)$. | |
| Mar 17, 2020 at 20:44 | vote | accept | Conjecture | ||
| Mar 17, 2020 at 20:43 | comment | added | Conjecture | Thank you, I understand for the 1. For 2. does it follow from Schwarz theorem? | |
| Mar 17, 2020 at 19:02 | history | answered | Jesse Silliman | CC BY-SA 4.0 |