Timeline for Objects of a category of homological dimension 1 is a smooth stack?
Current License: CC BY-SA 3.0
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| Sep 11, 2016 at 20:11 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
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| Sep 11, 2016 at 18:49 | answer | added | user25309 | timeline score: 3 | |
| Sep 11, 2016 at 18:45 | comment | added | Qiaochu Yuan | I think in this context "stack of objects" means someone has in mind an implicit way to upgrade your category to a stack of categories, and "stack of objects" refers to the corresponding stack of groupoids given by forgetting non-isomorphisms. Quiver representations and coherent sheaves on a curve can both be upgraded to a stack of categories in this way: to a commutative ring $R$ they assign quiver representations over $R$ resp. coherent sheaves on the base change of the curve to $R$. | |
| Sep 11, 2016 at 18:30 | history | edited | Elle Najt | CC BY-SA 3.0 |
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| Sep 11, 2016 at 18:24 | history | asked | Elle Najt | CC BY-SA 3.0 |