Timeline for Vector bundle $L$ admits connection if and only if degree of every direct summand of $L$ divisible by $\text{char}\,k$, intuition
Current License: CC BY-SA 4.0
20 events
| when toggle format | what | by | license | comment | |
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| May 1, 2021 at 15:42 | history | undeleted | Stefan Kohl♦ | ||
| May 1, 2021 at 15:42 | history | edited | Stefan Kohl♦ | CC BY-SA 4.0 |
Added notice regarding undeletion.
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| Sep 12, 2016 at 17:34 | history | deleted | user61522 | via Vote | |
| Apr 22, 2016 at 7:43 | history | undeleted | user61522 | ||
| Mar 15, 2016 at 9:30 | history | deleted | user61522 | via Vote | |
| S Dec 21, 2015 at 19:56 | history | bounty ended | CommunityBot | ||
| S Dec 21, 2015 at 19:56 | history | notice removed | CommunityBot | ||
| S Dec 13, 2015 at 18:44 | history | bounty started | CommunityBot | ||
| S Dec 13, 2015 at 18:44 | history | notice added | user61522 | Canonical answer required | |
| S Dec 13, 2015 at 5:27 | history | bounty ended | CommunityBot | ||
| S Dec 13, 2015 at 5:27 | history | notice removed | CommunityBot | ||
| Dec 11, 2015 at 20:08 | comment | added | Dmitry Vaintrob | Well, as you point out, the Frobenius pullback of a bundle always has a connection. So to prove the converse it would be enough to show that any indecomposable degree-zero bundle is a Frobenius pullback. Frobenius pullback is is the stacky frobenius applied to Bun_X(G) for $G = GL_n$, so (if this method works), you'd want to show that the behavior of the irreducible, degree-zero part of this stack is "geometric enough" that the Frobenius is invertible on points. You might try to do that using some stability filtration... this is just a guess. | |
| S Dec 5, 2015 at 3:44 | history | bounty started | CommunityBot | ||
| S Dec 5, 2015 at 3:44 | history | notice added | user61522 | Canonical answer required | |
| Dec 2, 2015 at 3:13 | comment | added | Richard Montgomery | Would you please give a ref. for the Atiyah theorem Kevin ? | |
| Dec 1, 2015 at 14:05 | history | edited | user61522 | CC BY-SA 3.0 |
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| Dec 1, 2015 at 13:09 | history | edited | user61522 | CC BY-SA 3.0 |
added 2784 characters in body; edited tags
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| Dec 1, 2015 at 12:54 | history | undeleted | user61522 | ||
| Nov 28, 2015 at 23:14 | history | deleted | user61522 | via Vote | |
| Nov 28, 2015 at 10:42 | history | asked | user61522 | CC BY-SA 3.0 |