Timeline for Replacing Spectrum with Valuations of a Field - An Alternative to Schemes?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 12, 2018 at 18:14 | comment | added | Somatic Custard | @EugeneEisenstein +1 for seconding Chandan's appreciation for the recommendation of Borger's viewpoint. | |
| Jul 25, 2010 at 23:22 | comment | added | Eugene Eisenstein | Thank you Brian, you are absolutely right. I should have said "the topology can be different from what we are used to on schemes" instead of "nasty." Also thank you for mentioning Borger. | |
| Jul 22, 2010 at 3:36 | comment | added | Chandan Singh Dalawat | +1 for recommending Borger's viewpoint. | |
| Jul 22, 2010 at 1:59 | comment | added | BCnrd | The underlying spaces of schemes are also nasty if one stares at them too closely, but with experience they're not so bad. Ditto for Riemann-Zariski spaces, so they shouldn't be regarded as "pretty nasty". In fact, Berkovich spaces (and adic spaces) are like this too: also spaces of valuations on a ring (in the affinoid case), but with practice one gets accustomed to them by putting on foggy glasses. As for the recommendation in a "different direction", I recommend Borger's viewpoint. | |
| Jul 21, 2010 at 21:14 | history | answered | Eugene Eisenstein | CC BY-SA 2.5 |