Timeline for A learning roadmap for algebraic geometry
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Jun 17, 2022 at 21:47 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Oct 22, 2009 at 1:11 | comment | added | Charles Siegel | Well, to get a handle on discriminants, resultants and multidimensional determinants themselves, I can't recommend the two books by Cox, Little and O'Shea enough. The first one, Ideals, Varieties and Algorithms, is undergrad, and talks about discriminants and resultants very classically in elimination theory. The second, Using Algebraic Geometry, talks about multidimensional determinants. | |
| Oct 21, 2009 at 23:47 | comment | added | j.c. | Gelfand, Kapranov, and Zelevinsky is a book that I've always wished I could read and understand. Maybe this is a "royal road" type question, but what're some good references for a beginner to get up to that level? | |
| Oct 19, 2009 at 23:14 | vote | accept | Akhil Mathew | ||
| Oct 19, 2009 at 23:09 | history | edited | Charles Siegel | CC BY-SA 2.5 |
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| Oct 19, 2009 at 23:03 | comment | added | Charles Siegel | I've actually never cracked EGA open except to look up references. SGA, too, though that's more on my list. I'll probably have to eventually, but I at least have a feel for what's going on without having done so, and other people have written good high-level expositions of most of the stuff that Grothendieck did. And specifically, FGA Explained has become one of my favorite references for anything resembling moduli spaces or deformations. | |
| Oct 19, 2009 at 23:00 | comment | added | Akhil Mathew | Thanks! So you're advising emphatically not to go the EGA-route (i.e. do nothing other than reading Grothendieck linearly for several months, but rather skip arond from different sources)? Perhaps this is the antidote for that phase. | |
| Oct 19, 2009 at 22:39 | history | answered | Charles Siegel | CC BY-SA 2.5 |