Timeline for "Points" in algebraic geometry: Why shift from m-Spec to Spec?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 14, 2011 at 18:46 | comment | added | marsupilam | A Lie algebra is local if it has a unique maximal ideal seems a reasonable definition. | |
| Apr 14, 2011 at 15:34 | comment | added | Anton Geraschenko | @Cédric: to get an interesting result, you have to answer the question, "what is a 'local Lie algebra'?" If you don't impose some condition on the stalks of the sheaf of Lie algebras, then the adjoint will simply send a Lie algebra to the one point space with that Lie algebra on it. In the case of rings, we could force the adjoint to be interesting by imposing the condition that the stalks are local rings. | |
| Apr 14, 2011 at 11:02 | comment | added | marsupilam | I'm impressed by the intrinsicality of this definition of affine schemes. It seems to me that it raises the following naive question. Consider the category of locally "Lie algebra"ed spaces. Does its global section functor have an adjoint ? | |
| Dec 16, 2010 at 21:11 | comment | added | Jeremy West | This wasn't my question, but this answer was uncommonly informative. Thanks! | |
| Oct 25, 2009 at 18:29 | history | edited | Anton Geraschenko | CC BY-SA 2.5 |
added solution
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| Oct 16, 2009 at 16:52 | vote | accept | Randomblue | ||
| Oct 16, 2009 at 16:05 | history | answered | Anton Geraschenko | CC BY-SA 2.5 |