Timeline for Which properties of a variety are detected by its derived category of coherent sheaves?
Current License: CC BY-SA 3.0
11 events
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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Apr 15, 2016 at 15:43 | vote | accept | Jan Grabowski | ||
Jan 12, 2015 at 17:21 | comment | added | Todd Trimble | Made CW on OP's request. | |
Jan 12, 2015 at 17:21 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
Jan 12, 2015 at 14:39 | comment | added | AAK | @მამუკაჯიბლაძე, when taking into account the derived tensor product, one can recover the variety completely (this is a theorem of Thomason and Balmer). | |
Jan 12, 2015 at 13:56 | comment | added | Jan Grabowski | @QiaochuYuan Certainly, I agree. But I wanted to have a synergy between my stories for the representation theory and for the algebraic geometry, so it seemed a natural question to ask. | |
Jan 12, 2015 at 13:43 | answer | added | Wai-kit Yeung | timeline score: 6 | |
Jan 12, 2015 at 13:02 | comment | added | Qiaochu Yuan | There are other ways to motivate the derived category than touting it as a good invariant, an important one being defining derived functors on them. | |
Jan 12, 2015 at 12:46 | comment | added | მამუკა ჯიბლაძე | Sort of aside maybe - there seems to be lot of additional structure, simplest one being derived tensor product. I wonder whether there are theorems describing all of the structure involved. | |
Jan 12, 2015 at 10:35 | history | asked | Jan Grabowski | CC BY-SA 3.0 |