Timeline for Source on functorial algebraic geometry
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
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| Jun 22, 2020 at 10:09 | answer | added | Ashwin Iyengar | timeline score: 6 | |
| Jan 29, 2020 at 21:50 | comment | added | Eivind Dahl | Thanks for following up on this (wow almost decade) old thread! | |
| Jan 28, 2020 at 19:57 | comment | added | Emily | A much better scan of Gaeta's notes is available here, as noted by David Corfield on the nForum. | |
| Mar 15, 2017 at 9:04 | answer | added | ಠ_ಠ | timeline score: 2 | |
| Jul 7, 2011 at 13:25 | comment | added | Eivind Dahl | @Keerthi: I was able to acquire a copy of EGA I at my University library. Although my French is taking its baby steps, I can already tell that the introduction is well-written and indeed beautifully motivated. I had almost forgot that we're studying systems of polynomial equations. | |
| Jul 4, 2011 at 14:59 | history | edited | Eivind Dahl | CC BY-SA 3.0 |
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| Jun 28, 2011 at 22:22 | comment | added | Keerthi Madapusi | The functor of points approach is written down with great clarity in the Springer edition, and it is used to construct the Grassmannian and flag varieties, among other things. Now, a functorial approach to the basics of schemes is a different matter, but EGA 1 (the Springer edition) is a reference for all the notions mentioned in the accepted answer. | |
| Jun 28, 2011 at 10:14 | vote | accept | Eivind Dahl | ||
| Jun 27, 2011 at 20:57 | answer | added | babubba | timeline score: 5 | |
| Jun 27, 2011 at 20:24 | history | edited | Eivind Dahl | CC BY-SA 3.0 |
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| Jun 27, 2011 at 20:00 | comment | added | Zoran Skoda | In my memory, EGA does not qualify -- in EGA the schemes/spaces are defined as ringed spaces and not as sheaves on a site which are locally representable. Knutson's "Algebraic spaces" has more of the functorial approach. FGA (and recent "FGA explained" cf. ncatlab.org/nlab/show/FGA+explained ) are more useful for start, complemened by Demazure-Gabriel. | |
| Jun 27, 2011 at 19:57 | answer | added | Beren Sanders | timeline score: 9 | |
| Jun 27, 2011 at 19:23 | comment | added | Keerthi Madapusi | I'm surprised no one has mentioned the Springer edition of EGA 1 where the functorial point of view can be had right from the horse's mouth, so to speak. | |
| Jun 27, 2011 at 19:21 | answer | added | Georges Elencwajg | timeline score: 31 | |
| Jun 27, 2011 at 18:08 | comment | added | Julien Puydt | The question said "available, elementary and readable"... D&G doesn't fit all three points :-) But it's indeed the best answer I know ; the functorial point of view is also mentioned in Eisenbud&Harris "The geometry of schemes" if I remember well, but it isn't the base. | |
| Jun 27, 2011 at 15:48 | comment | added | Eivind Dahl | Thanks to both of you! I'll try to contact him and try to fake some german. | |
| Jun 27, 2011 at 15:42 | comment | added | Martin Brandenburg | As Josh already said, Demazure/Gabriel is the definite source. If you can read german, try to contact Marc Nieper-Wißkirchen. He has written lecture notes in which he developes algebraic geometry from the functorial viewpoint. | |
| Jun 27, 2011 at 15:34 | comment | added | thel | Try Demazure and Gabriel. | |
| Jun 27, 2011 at 15:29 | history | edited | Eivind Dahl | CC BY-SA 3.0 |
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| Jun 27, 2011 at 15:18 | history | asked | Eivind Dahl | CC BY-SA 3.0 |