Timeline for Schemification (schematization?) of locally ringed spaces
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 16, 2015 at 11:05 | history | edited | jmc | CC BY-SA 3.0 |
fix formatting error
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| Apr 6, 2011 at 2:40 | history | edited | Andrew Critch | CC BY-SA 2.5 |
typo
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| Apr 6, 2011 at 1:13 | history | edited | Andrew Critch | CC BY-SA 2.5 |
response to Martin's answer; added 1 characters in body
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| Apr 4, 2011 at 8:21 | comment | added | Harry Gindi | @Andrew: I'm thinking of something like a "generalized GAGA", but I'm not really sure what conditions you need on $(X,A)$. I think something like what I'm talking about is covered in chapter 8 of that book, but I really don't know the specifics. | |
| Apr 4, 2011 at 8:01 | comment | added | Andrew Critch | @Buschi, Chapter IV seems to be about forming locally ringed topoi (or spaces) from ringed topoi (or spaces). If I understand, this construction is right adjoint to the inclusion $LRT \to RT$. @Harry, Could you say more specifically what result you're talking about? I'm dubious, because I'd expect any ringed topos to be a relative scheme over itself... | |
| Apr 4, 2011 at 7:41 | comment | added | Harry Gindi | @Andrew: There is some stuff in the next chapter (chapter 5) that might be useful to you (if you can show that your locally ringed topos is a relative scheme for some other ringed topos $(X,A)$, you have a universal scheme associated to it by way of a crazy adjunction induced by the universal map $(X,A)\to (Set,Z)$), but I don't think it really addresses your question in any sort of concrete way. | |
| Apr 4, 2011 at 7:34 | comment | added | Andrew Critch | I haven't. Should I? I just skimmed through a copy and didn't see anything about turning espaces annelés en anneaux locaux into schemas. | |
| Apr 4, 2011 at 7:07 | comment | added | Buschi Sergio | HAve you read CAP.IV of "Topos Annelés et schemas relatifs" by M. Hakim , Ergebn. Math. Grenzgeb. , 64 ? | |
| Apr 4, 2011 at 6:40 | history | asked | Andrew Critch | CC BY-SA 2.5 |