Timeline for Examples of Stokes data
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2 at 7:01 | comment | added | Loïc Teyssier | Part of it constitutes the exponential torus appearing in the Galois group (see works by e.g. J.-P. Ramis) | |
| Nov 30 at 23:27 | comment | added | Mathmank | If the Stokes data is trivial in your first example of $(x^2-a^2)y' + y =0$, then how should we account for the lost monodromy around the points $\pm a$ as the points merge? | |
| Jun 2, 2020 at 17:07 | comment | added | Pulcinella | Thanks, that book guided me to the reference in my answer. | |
| Jun 2, 2020 at 17:06 | vote | accept | Pulcinella | ||
| Jun 1, 2020 at 13:45 | comment | added | Loïc Teyssier | 1. It depends on how you present it, but yes, this is the amount of information needed. 2. I'm not at all at my ease with a more algebraic-geometrical approach. I understand what happens at an analytic/geometric level, I wouldn't risk saying hopeless mistakes. Have you tried the Singer-Vanderput book on Differential Galois Theory ? You may find useful connections there | |
| Jun 1, 2020 at 13:43 | history | edited | Loïc Teyssier | CC BY-SA 4.0 |
Some minor fixes
|
| Jun 1, 2020 at 13:07 | comment | added | Pulcinella | 1. To be extremely explicit, you mean that Stokes data is just ``usual monodromy along with the monodromy over the Stokes lines (Stokes factors)''? 2. Is it clear how this definition relates to the Delgine/Sabbah definition of Stokes data as being extra data on the pullback of the local system to the blowup at the singular point? | |
| Jun 1, 2020 at 13:05 | comment | added | Pulcinella | Thanks so much for this answer! | |
| Jun 1, 2020 at 11:12 | history | edited | Loïc Teyssier | CC BY-SA 4.0 |
added 397 characters in body
|
| Jun 1, 2020 at 10:43 | history | answered | Loïc Teyssier | CC BY-SA 4.0 |