Timeline for D-modules over algebraic curves VS differential Galois theory
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2016 at 13:59 | comment | added | Will Sawin | @SaalHardali I think yes to your first question although there is a different focus in each - the category of D-modules vs. the category of fields. It is not true that you can recover the behavior at the singular points from the regular singular condition. D-modules supported at a single point can be regular singular. Instead it lets you recover the generic part from the monodromy. | |
| Dec 3, 2016 at 13:51 | comment | added | Saal Hardali | So just to make sure i understand linear ordinary differential Galois theory is basically the generic part of D modules after we chose a coordinate on the curve? Then in the case of regular singularities one can recover the behavior at singular points from the mondromy and so the D-module structure gives us nothing new? | |
| Dec 3, 2016 at 13:44 | history | bounty ended | Saal Hardali | ||
| Dec 3, 2016 at 13:44 | vote | accept | Saal Hardali | ||
| Dec 3, 2016 at 13:43 | vote | accept | Saal Hardali | ||
| Dec 3, 2016 at 13:44 | |||||
| Dec 1, 2016 at 17:00 | history | edited | Will Sawin | CC BY-SA 3.0 |
added 1923 characters in body
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| Dec 1, 2016 at 16:49 | history | answered | Will Sawin | CC BY-SA 3.0 |