Timeline for A non-rational variety with a full exceptional collection?
Current License: CC BY-SA 4.0
9 events
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Aug 31, 2018 at 22:41 | comment | added | Ennio Mori cone | Bondal and Polishchuk's "Homological properties of associative algebras: the method of helices." shows that a variety with a full exceptional collection of length $\dim X+1$ must be a fano variety. | |
Aug 31, 2018 at 16:18 | vote | accept | CommunityBot | ||
Aug 31, 2018 at 16:04 | history | edited | Sasha |
I added the "open-problems" tag.
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Aug 31, 2018 at 15:45 | answer | added | Sasha | timeline score: 8 | |
Aug 31, 2018 at 14:39 | comment | added | Leo Alonso | Unfortunately, I'm not aware of such a reference. In fact I can't figure out any example. On the other hand, you have a full description of the derived category of Abelian varieties, though not through an exceptional collection (if I'm not mistaken). | |
Aug 31, 2018 at 14:36 | comment | added | user74900 | @LeoAlonso is it? I did not know it. If you could post a link to a paper where it is stated to be an open problem, I would accept it as an answer. | |
Aug 31, 2018 at 14:28 | comment | added | Leo Alonso | Perhaps this question should count as an "open problem". | |
Aug 31, 2018 at 9:23 | history | edited | user74900 | CC BY-SA 4.0 |
added 13 characters in body
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Aug 31, 2018 at 8:10 | history | asked | user74900 | CC BY-SA 4.0 |