Timeline for Comprehensive and self-contained treatment of Algebraic Geometry using Functor of Points approach
Current License: CC BY-SA 2.5
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 19, 2011 at 12:53 | answer | added | Georges Elencwajg | timeline score: 8 | |
| Jan 19, 2011 at 8:02 | answer | added | Martin Brandenburg | timeline score: 9 | |
| Jan 19, 2011 at 7:51 | answer | added | Niels | timeline score: 4 | |
| Jan 19, 2011 at 6:59 | answer | added | Emerton | timeline score: 10 | |
| Jan 19, 2011 at 6:52 | answer | added | fcukier | timeline score: 8 | |
| Jan 19, 2011 at 4:57 | comment | added | Brian | @Harry: Thanks a lot! I will look over what you posted. I'm actually reading Hartshorne (doing as many exercises as possible). I'm looking for another approach so I can get good intuitions from both sides (hopefully). | |
| Jan 19, 2011 at 4:32 | comment | added | Harry Gindi | (Of course, to the extent that one can really learn a subject without doing exercises!) | |
| Jan 19, 2011 at 4:31 | comment | added | Harry Gindi | I should note, Brian, that I tried to do what you're doing now, and it hasn't really worked. I still basically know nothing about the geometry part of algebraic geometry. If you're really set on learning algebraic geometry and not commutative algebra + category theory, I think it might be prudent to take a more traditional swing at it. A lot of the people I've met who dislike Hartshorne have had a better time getting through EGA, which is very methodical and includes full proofs. Hartshorne is essentially worthless as a textbook if you don't do the exercises! | |
| Jan 19, 2011 at 4:17 | comment | added | Harry Gindi | Another good supplement is probably Demazure-Gabriel. It doesn't use the theory of Grothendieck topologies, though. It introduces the idea of the locally ringed space associated with a scheme (as a functor of poitns) as being its "geometric realization". | |
| Jan 19, 2011 at 3:29 | comment | added | Kevin H. Lin | I first learned some of this material from Eisenbud-Harris and from these lecture notes of Brian Osserman: math.ucdavis.edu/~osserman/classes/256A | |
| Jan 19, 2011 at 3:22 | comment | added | Harry Gindi | Toen's notes assume that you're comfortable with the material in Vistoli's notes, by the way. It's also worth reading something like EGA0 for commutative algebra, which is leaned upon heavily using the functor-of-points approach. | |
| Jan 19, 2011 at 3:20 | comment | added | Harry Gindi | ens.math.univ-montp2.fr/~toen/m2.html is a good one. It's might also be worth reading Neil Strickland's paper on formal groups and formal schemes, but be warned: It only covers the affine case. | |
| Jan 19, 2011 at 2:59 | comment | added | Brian | That's what I thought as well. Could you point me to those sets of lecture notes? Thanks! | |
| Jan 19, 2011 at 2:44 | comment | added | Harry Gindi | No such treatment exists, although there are disconnected sets of lecture notes that give some idea of what a treatment would look like. | |
| Jan 19, 2011 at 2:16 | history | asked | Brian | CC BY-SA 2.5 |