Timeline for Higher Adeles of a scheme and related topics
Current License: CC BY-SA 3.0
15 events
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| S Feb 1, 2017 at 15:22 | history | bounty ended | CommunityBot | ||
| S Feb 1, 2017 at 15:22 | history | notice removed | CommunityBot | ||
| S Jan 24, 2017 at 13:56 | history | bounty started | Saal Hardali | ||
| S Jan 24, 2017 at 13:56 | history | notice added | Saal Hardali | Draw attention | |
| Jan 20, 2017 at 21:48 | history | edited | Saal Hardali | CC BY-SA 3.0 |
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| Jan 20, 2017 at 21:47 | comment | added | მამუკა ჯიბლაძე | Sorry this is completely new (and exciting!) stuff for me, I certainly need some time to learn it. | |
| Jan 20, 2017 at 21:37 | comment | added | Saal Hardali | @მამუკაჯიბლაძე If you could comment about how she does things differently so that it does work it would help a lot. | |
| Jan 20, 2017 at 21:34 | comment | added | მამუკა ჯიბლაძე | Thanks! In the meanwhile I found a very accurate paper by Annette Huber, she explicitly states that for the $\mathcal O$ sheaf over the spectrum of a Dedekind ring you get exactly the classical adeles. | |
| Jan 20, 2017 at 21:31 | comment | added | Saal Hardali | @მამუკაჯიბლაძე Correction: To get the adeles (meaning the restricted product and not just the arbitrary product) you should modify this probably. Perhaps some kind of limit over all finite sub-simplicial sets of $S(X)$. I have no idea. | |
| Jan 20, 2017 at 21:17 | comment | added | Saal Hardali | @მამუკაჯიბლაძე I got this from papers by yekutieli e.g. math.bgu.ac.il/~amyekut/publications/bcas/journal.pdf. There are others, look up "explicit residue complex" or bellinson completion algebras and you'll find them. As I said they were too dense and technical for me to grasp. I think that in the case of a smooth curve you get a complex which at one degree has the function field and at the other precisely the classical adeles. | |
| Jan 20, 2017 at 21:11 | comment | added | მამუკა ჯიბლაძე | Could you please tell where to read about this stuff? How is it related to "ordinary" adeles? | |
| Jan 20, 2017 at 20:00 | history | edited | Saal Hardali | CC BY-SA 3.0 |
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| Jan 20, 2017 at 16:24 | history | edited | Saal Hardali | CC BY-SA 3.0 |
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| Jan 20, 2017 at 16:16 | history | edited | Saal Hardali | CC BY-SA 3.0 |
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| Jan 20, 2017 at 16:08 | history | asked | Saal Hardali | CC BY-SA 3.0 |