Timeline for Reference request - existence of formal solutions for integrable connections
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 25, 2019 at 0:09 | vote | accept | dorebell | ||
| Feb 25, 2019 at 0:07 | comment | added | dorebell | Yes, I think both of those adjustments are right. Thanks for the reference! I'm surprised by the simplicity of the argument - it looks like Katz essentially just writes down a solution directly as a "matrix exponential". The condition of being $(t_1, \ldots, t_n)$-adically continuous should say exactly that the integrable connection is specified by differential equations $\frac{\partial}{\partial t_k} s = \sum_j M^j_{ik} s$, right? (i.e. some random integrable connection on the power series ring might not land in the span of the $dt_i$'s.) | |
| Feb 24, 2019 at 17:58 | comment | added | Avi Steiner | Nice answer! I want to emphasize that this proposition is really saying that integrable connections are only really interesting as global objects---locally, they're all determined up to isomorphism by their rank. | |
| Feb 24, 2019 at 2:35 | review | First posts | |||
| Feb 24, 2019 at 3:03 | |||||
| Feb 24, 2019 at 2:34 | history | answered | user136220 | CC BY-SA 4.0 |