Timeline for Geometry of schemes by Eisenbud and Harris
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 28, 2016 at 19:02 | comment | added | user37663 | @Callus Ok. Thank you for the comment. | |
| Nov 28, 2016 at 18:57 | comment | added | user37663 | Reason for down votes? | |
| Nov 28, 2016 at 18:54 | comment | added | Callus - Reinstate Monica | I learned scheme theory reading Hartshorne after learning varieties ( Shafarevich ), comm alg ( AM+Eisenbud ), but before complex geometry or much advanced diff geom. In particular, I'd say it was my first modern geometry course. I had the benefit of learning from @JasonStarr though and living with a symplectic geometer. I think, for my background, geometric inspiration was the only thing missing from Hartshorne. Having ( later ) read Geometry of Schemes, I think that would have helped, too. All this by way of concrete example to Jason's earlier comments. | |
| Nov 28, 2016 at 1:14 | comment | added | user37663 | @SaalHardali I took course with AM as reference text and I am comfortable with algebra in that | |
| Nov 28, 2016 at 1:10 | comment | added | Saal Hardali | Also, regarding the algebra book i mentioned i wouldn't treat it as a texbook but rather as tome. Its huge and full of geometric insights so its perfect for that. A.M. is much more suited for an introduction to the subject. | |
| Nov 28, 2016 at 1:07 | comment | added | user37663 | @SaalHardali thanks for the suggestion... I will definitely see that book | |
| Nov 28, 2016 at 1:03 | comment | added | Saal Hardali | You might also want to check Gortz and Wedhorn for schemes. The thing with algebraic geometry is that rarely if ever do books literally overlap. You could read two books on basic algebraic geometry cover to cover and still not know all the contents of the third and that's okay. It's a huge subject. Whatever book you choose I would advise you to strive for the simplest most intuitive possible explanation (in your opinion) for any thing you read so that it sinks in. I would also recommend "commutative algebra with a view towards algebraic geometry" for the algebra. | |
| Nov 28, 2016 at 0:29 | review | Close votes | |||
| Nov 28, 2016 at 10:27 | |||||
| Nov 27, 2016 at 22:34 | comment | added | Jason Starr | I would talk to the student, I would find out the student's background, and then I would give an answer. For most students, I recommend first reading some commutative algebra, e.g., Atiyah-MacDonald, and then I recommend that the student attempt Harthsorne's book. However, I have helped students read through other books as well. | |
| Nov 27, 2016 at 22:03 | comment | added | user37663 | @JasonStarr Can I ask you what would you say if your student asks this question to you. Apologies if this sounds silly. | |
| Nov 27, 2016 at 21:51 | comment | added | user37663 | @DavidSteinberg I think that is a nice option as well. | |
| Nov 27, 2016 at 21:47 | comment | added | user37663 | @JasonStarr I would ask advisor as well. I just want to know general opinion on studying from others as well. | |
| Nov 27, 2016 at 21:41 | comment | added | David Steinberg | You might consider Ravi Vakil's notes, also: math.stanford.edu/~vakil/216blog I think both of your choices (Hartshorne, and Eisenbud/Harris) are good places to start. People's comments amount to the fact neither book is perfect for everyone, which should not be surprising. Maybe try moving back and forth between all three until a favourite emerges. | |
| Nov 27, 2016 at 21:39 | comment | added | Jason Starr | If there is a faculty member at your institution that can advise you, I recommend that you bring this question to that advisor. | |
| Nov 27, 2016 at 21:07 | history | asked | user37663 | CC BY-SA 3.0 |