Timeline for Obstruction and 1st order infinitesimal deformations of Generalized Elliptic Curves (Deligne-Rapoport)
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 17, 2014 at 11:48 | comment | added | Heer | I'm still looking forward to a detailed reference concerning Question 1. | |
| Aug 17, 2014 at 11:47 | comment | added | Heer | Oh, I see! The ambiguity arises from the way I state. Actually, Question 2 is under the same assumption as Question 1. About 1 hour after I proposed Question 2, I figured out the answer, and reedited and proposed Question 3 (also said "I should read D-R carefully"). Sorry for this, and thanks for reminding me Schlessinger's thesis. However, I checked his thesis, he didn't consider deformation problem of couples like (curve,point). | |
| Aug 16, 2014 at 14:36 | comment | added | user54268 | The way the question is written, it looks like the irreducibility hypothesis is only in #1. If you are imposing it in #2 as well, for which you know a reference for the proof, why are you asking the question? For #1, I do not know a reference for systematic things in deformation theory, but my recollection is that Schlessinger's thesis (in the parts which he didn't publish, but which is available from Pusey library at Harvard) address the Ext stuff. | |
| Aug 16, 2014 at 12:06 | comment | added | Heer | For #2, as I understand, you are talking about residually reducible case, while my question is about irreducible case? And I think (D-R Chapter II Prop. 1.5, Prop. 2.7) answers my question. Am I misunderstanding the proof of D-R? | |
| Aug 16, 2014 at 11:52 | comment | added | Heer | For #1, why does the twist keep track of the deformation of the identity section? Could you tell me some reference which give systematical answer to the deformation theory of such kind of structures? | |
| Aug 15, 2014 at 18:00 | review | First posts | |||
| Aug 15, 2014 at 18:10 | |||||
| Aug 15, 2014 at 17:57 | history | answered | user54268 | CC BY-SA 3.0 |