Timeline for Is the restriction of sheaves from the big to small etale sites an equivalence?
Current License: CC BY-SA 3.0
4 events
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| Jul 7, 2017 at 0:44 | comment | added | nfdc23 | Fullness and essential surjectivity are at the level of exercises, so I don't think these should be asked here: by contemplating pullback operations, you can work them out for yourself. Not all questions that come to mind when first learning about a topic should be answered on the Internet. For related reasons, I think it is better to leave my comment as a comment. | |
| Jul 6, 2017 at 15:56 | comment | added | Avi Steiner | @nfdc23 thanks! that gives an example of the failure of faithfulness, so you should post it as an answer. Do you have examples for the failures of fullness and essential surjectivity? | |
| Jul 6, 2017 at 1:41 | comment | added | nfdc23 | What examples have you tried? Consider the functor of points of any non-etale $X$-scheme, with $X$ the spectrum of a separable closed field. | |
| Jul 5, 2017 at 23:08 | history | asked | Avi Steiner | CC BY-SA 3.0 |