Timeline for The 'gros' functor from schemes into (strictly) locally ringed topoi
Current License: CC BY-SA 4.0
7 events
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Apr 25, 2019 at 3:15 | comment | added | Ingo Blechschmidt | You circumvent this problem by defining schemes to be certain objects in $\mathrm{Sh}(\mathbf{Et})$, but let me remark for the benefit of others that the functor from schemes-as-usually-defined to $\mathrm{Sh}(\mathbf{Et})$ is not fully faithful if $\mathbf{Et}$ is defined, as in your post, using only finitely presented rings. For instance, the functor of points of $\mathrm{Spec}(\mathbb{Q})$ coincides with the functor of points of the empty scheme. | |
Apr 23, 2019 at 18:24 | history | became hot network question | |||
Apr 23, 2019 at 16:20 | vote | accept | Steve | ||
Apr 23, 2019 at 16:11 | history | edited | Steve | CC BY-SA 4.0 |
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Apr 23, 2019 at 15:57 | history | edited | Steve | CC BY-SA 4.0 |
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Apr 23, 2019 at 14:57 | answer | added | Simon Henry | timeline score: 9 | |
Apr 23, 2019 at 13:28 | history | asked | Steve | CC BY-SA 4.0 |