Timeline for What elementary problems can you solve with schemes?
Current License: CC BY-SA 3.0
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| Jul 30, 2017 at 1:41 | history | edited | Saal Hardali | CC BY-SA 3.0 |
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| Jul 30, 2017 at 1:40 | comment | added | Saal Hardali | I think this is a nice result because it tells us that the picture one has for a map between complex curves (i.e. local isomorphism except for finitely many points) has a naive generalization to higher dimensions which is true for much deeper reasons. | |
| Jul 30, 2017 at 1:36 | comment | added | Saal Hardali | I think believe anyone interested in the question "what elementary problems can you solve with schemes?" can, in the least, be expected to know something about complex curves. All the notions in my example already appear there and with the precise same meaning. Except "punctured spectra of local rings" which I mentioned as an example of why the use of schemes in this particular case can't be easily avoided. | |
| Jul 30, 2017 at 0:28 | comment | added | Gerry Myerson | "The goal is to be able to give some concrete notion of what you can do with schemes to, say, a beginning graduate student or someone not studying algebraic geometry." Will such a student know what a smooth complex algebraic variety is? or what a ramification locus is? or what punctured spectra of local rings are? | |
| S Jul 29, 2017 at 23:11 | history | answered | Saal Hardali | CC BY-SA 3.0 | |
| S Jul 29, 2017 at 23:11 | history | made wiki | Post Made Community Wiki by Saal Hardali |