Timeline for Is the action of braid group on the set of full exceptional collections always transitive?
Current License: CC BY-SA 4.0
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| Sep 5, 2018 at 15:57 | history | edited | user74900 | CC BY-SA 4.0 |
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| Sep 5, 2018 at 15:26 | history | edited | user74900 | CC BY-SA 4.0 |
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| Sep 5, 2018 at 14:50 | comment | added | Sasha | First, even for $\mathbb{P}^1$ you need to add the action of shifts to achieve transitivity of the action. Second, as far as I remember, Polishchuk only proves transitivity for exceptional collections of vector bundles; it doesn't imply transitivity (even with shifts taken into account), since there might be exceptional collections consisting of non-locally free sheaves, or even of complexes. | |
| Sep 5, 2018 at 14:24 | history | asked | user74900 | CC BY-SA 4.0 |