Timeline for When is the inverse image of the structure sheaf the structure sheaf?
Current License: CC BY-SA 3.0
5 events
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Nov 26, 2017 at 22:49 | vote | accept | stupid_question_bot | ||
Nov 23, 2017 at 22:45 | answer | added | R. van Dobben de Bruyn | timeline score: 12 | |
Nov 23, 2017 at 19:18 | comment | added | Simon Henry | But note how they are just the "sheaves of set over the small Zariski topos", In your case you just look at a different topos (and sheaves of groupoids instead of sheaves of sets) but the situation is not that different. | |
Nov 23, 2017 at 19:16 | comment | added | Simon Henry | Let $X$ be a scheme and $V$ be a sheaf of set on the underlying topological space of $X$. Then the étale space of $V$ endowed with the pullback of the structural sheaf of $X$ is a scheme satisfying this property (it is a scheme because it is locally isomorphic to $X$, it might not be a separated scheme in general). I believe those are the only ones. | |
Nov 23, 2017 at 18:59 | history | asked | stupid_question_bot | CC BY-SA 3.0 |